factorise:-
(a+b)³ - (a-b)³​

Answers

Answer 1

[tex](a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)[/tex]

Answer 2

Answer:

Step-by-step explanation:

(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]

                         = a³ + 3a²b + 3ab² + b³ - a³  + 3a²b - 3ab² + b³

                         = a³ - a³  + 3a²b + 3a²b  + 3ab² - 3ab² + b³ + b³

Here, the underlined terms will be cancelled.

                         = 6a²b + 2b³

                        = 2 * 3 *a²*b  + 2*b³

                        = 2b* (3a² + b²)


Related Questions

find a area of a circumference that is 13 ft for 3.14 π

Answers

Answer:

4.14x3.14=12.9996

Step-by-step explanation:

This is the closest to 13 ft via circumference

Here is a few equations a dn formulas to remind you.

Area=3.14xRxR or Pi*rr

This is Pi times the radius times the radius.

The radius is half of the circle or half of the Diameter.

Area(semi-circle)=1/2x3.14xrxr

Circumfrence=3.14xDor 3.14xdiameter

If this answer helped pls give brainlest.


PLEASEEEEEE HELP ME OUT

Answers

Answer:

[tex]x = 135(being \: opposite \: angles \: of \: a \: paralleogram)[/tex]

Step-by-step explanation:

x =135(being opposite angles of a parallelogram)

In order to be successful in taking math exams, what are some important test taking strategies?

Answers

Answer:

Hope this helps =)

Step-by-step explanation:

Read the questions carefullyBookmark questions you don't know or are unsure aboutStudy before the day of the testGet enough sleep the day before the testEat a good breakfast the day of the testRecheck problemsWork it out

URGENT!!! HELP!!!
You spend a $20 per turn on a fair game to win $50 for each win. You lose the first round but win the next two rounds.
What was the net payoff?


$100


-$60


-$30


$40

Answers

The net payoff obtained during the game is $40. Option D is the correct answer.

What is net payoff?

The term "net payoff" describes the profit or loss realised from a transaction or operation after deducting all costs, charges, and taxes. It is determined by deducting the total cost of the activity or investment from the total income received. A gain is shown by a positive net reward, whereas a loss is indicated by a negative net payoff.

Given that, each round cost $20, and each win gives $50.

Now, for 3 rounds the total cost is:

$20 x 3 = $60

After winning the two round the win amount is:

$50 x 2 = $100

Now, the net payoff is:

$100 - $60 = $40.

Hence, the net payoff obtained during the game is $40. Option D is the correct answer.

Learn more about net payoff here:

https://brainly.com/question/31381562

#SPJ1

in need help in this

Answers

Answer:

Vertex form is

[tex]a(x - h) {}^{2} + k = y[/tex]

where (h,k) is the vertex

So our vertex form is

[tex]a(x - 3) {}^{2} + 5 = y[/tex]

It passes through (6,0) so we have

[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]

Solve for a.

[tex]a(3) {}^{2} + 5 = 0[/tex]

[tex]a(9) = - 5[/tex]

[tex]a = \frac{ - 5}{9} [/tex]

So our equation is

[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]

Answer number 14. It’s very difficult for me and i need some help.

Answers

Answer:

1201.2 in (100.1ft)

Step-by-step explanation:

A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.

First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.

For 7 points and brainliest to the best correct answer, find the missing measures. Question is in photo, thanks.

Answers

Answer:

X = 2

AB = 39

CB = 27

Step-by-step explanation:

Since it's a parallelogram (two pairs of parallel sides), we can set each opposite side equal to each other. We know the equation for two opposite sides, side AD and side CB, therefore:

[tex]AD=CB\\14x-1=9x+9\\5x=10\\x=2[/tex]

Now that we know x, we can solve the other equations:

[tex]12x+15=AB\\12*2+15=AB\\24+15=AB\\39=AB[/tex]

And:

[tex]9*2+9=CB\\18+9=CB\\27=CB[/tex]

The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?

Answers

2 hours and 15 minutes

Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag of nails out and sorts them. he makes a chart showing the number of nails of each length.

later, Tim sorts the rest of the nails approximately how many 1-inch nails can tim expect to find in the rest of the nails? 100 pts

Answers

Answer:

Step-by-step explanation:

he has 1/4 remaining as he has only used 3/4

PLEASE HELP I ILL MARK BRAINLIEST

Answers

Answer: 90 dergrees

Step-by-step explanation: 90 dergrees

The equation is C=35+4n.
If C= 500 what would N be? Please I really need the answer

Answers

Answer:

116.25 or [tex]\frac{465}{4}[/tex]

Step by Step Explanation;

500=35+4n

Subtract 35 from both sides

465=4n

[tex]\frac{465}{4}=n[/tex]

[tex]116.25=n[/tex]

Hope This Helps! :) Please Mark as Brainliest!

C=35+4n, if C=500 what would N be?
n=116.25

what value of w makes the following equation true?
w+4 1 over 5 = 13 19 over 20

Answers

Answer:

13.15

Step-by-step explanation:

How many times greater is 7,000,000( 7 million ) than 700,000(700 thousand)?

Answers

Answer:

6300000

Step-by-step explanation:

7,000,000-700,000=6300000

Answer:

10 times greater

Step-by-step explanation:

Please help!! 40 Points!!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

A

when 2 equal bases are being multiplied together their exponents are added together, that is

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

B

[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]

C

[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]

= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]

= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]

= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]

#A

a^b+a^c=a^b+c

#B

12^5x×12^-712^5x-7

#C

x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1

Use the Distributive Property to expand 4(x+3)

Answers

Answer:

4x+12

Step-by-step explanation:

4(x+3)=4x+12.

You use the distributive property by multiplying both numbers in the parentheses by 4

Answer:

4x +12

Step-by-step explanation:

Distributive property: a*(b + c) = (a *b)+(a *c)

Here, a = 4 ; b = x and c = 3

4*(x + 3) = 4*x + 4*3

             = 4x + 12

The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8in. of the actual side length.

Answers

Answer:

And the answer may be 3/8 and 11/8 (among an infinite amount of different rational numbers less than 188 of the actual side length), as shwon below.

Explanation:

1) Calculate the side length of the bulletin board in the shape of a square:

The area of a square is equal to the square of length of the sides

A = x²

Substitute A = 150 unit²

150 = x²

Extract square root of both sides:

2) Find two rational numbers that are within, this is they are less than, 1/8 of the actual side length:    

Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.

Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.

Remember that multiplying by 1/8 is the same that dividing by 8.

Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.

12/8 can be simplified to 3/2 and 11/8 is in its simplest form.

Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.

Step-by-step explanation:

hope this helps if does mark brainllest pls! :)

Area:-150sq units

Side be a

Now

a²=150a=√150a=√2×3×5×5a=5√6

Now

Scale factor=1/8

So

new side length:-

1/8(5√6)5/8√6

Factor x^2−2x. Is this a special product?

Answers

Answer:

x(x-2)

Step-by-step explanation:

x^2−2x

Factor out an x

x(x-2)

This is not a special product

Find the gradient of the line segment between the points (1,2) and (3,-8)?

Answers

Answer:

-5

Step-by-step explanation:

[tex]gradient=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

              =[tex]=\frac{-8-2 }{3-1}[/tex]

             =-5

Hope it helps:)

Solution:-

[tex]\textsf{The gradient of a line passing through two}[/tex][tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

[tex]\sf{x_1= 1}[/tex][tex]\sf{y_1=2}[/tex][tex]\sf{x_2=3}[/tex][tex]\sf{y_2= -8}[/tex]

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =\frac{-8-2}{3-1} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{\cancel{-10}}{\cancel{2}} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf -5 \\\end{gathered} \end{gathered} [/tex]

>>The gradient of the line segment is -5

Find the slope of the line containing the points (-2, -3) and (-4, 1).

Answers

Answer:

- 2

Step-by-step explanation:

Slope, m = (y1-y2)/(x1-x2)

              = ( -3 -1)/(-2- -4) =

                       -4 / ( 2) = - 2

(-2,-3)(-4,1)

Sloep:-

m=1-(-3)/-4-(-2)m=1+3/-4+2m=4/-2m=-2

Yo I need to bring up my grade bad so
2x=5+y
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?

Answers

The total amount paid for the mortgage will be $123750 and the cost of the mortgage is $178750.

How to calculate the mortgage?

From the information, Kerri takes out a mortgage for $55,000 at 9% for 25 years. The total amount paid will be:

= ($55,000 × 9% × 25)

= $123750

The cost of the mortgage will be:

= $55000 + $123750

= $178750

The monthly payment will be:

= ($55000 + $123750) / 25 years

= $178750/(25 × 12)

= $178750/300

= $595

Learn more about mortgage on:

https://brainly.com/question/1318711

find the value of x to the nearest tenth

Answers

Answer:

X, to the nearest tenth would be 27.

Step-by-step explanation:

Sin(theta) = adjacent/hypotenuse

Sin64 = x/30

X = sin64 x 30

X= 26.963…

Coach Morton is going on vacation! He drives 7.5 hours at an average speed of 35mph. How many miles did he travel?

Answers

Answer:

4.7m

Step-by-step explanation:

35/7.5

=4.7m

Am sure am correct

Use the drawing tools to form the correct answer on the graph.
Graph this system of equations on the coordinate plane:
y = -3x + 3
y = 1/2x - 4

Answers

Answer:

The answer would be (2,3) or you can find the answer in desmos

Step-by-step explanation:

You can input the coordinates in Desmos graphing calculator for the graph

Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?Help I'm stuck. thank u

Answers

Answer:

The best customary unit of measurement to measure the lengths of the rope for knot-tying would be:
Inches (in.)

Alex can also use feet, yards, and miles, but Inches are the best measurement to use in this situation.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Can someone help me with these I really don’t understand no matter what I try

Answers

Answer:

Step-by-step explanation:

This are 3 triangles

One big one, that is divided into 2

 Of the 2 triangles one is smaller than the other

So

inside the big trangle we have:

Small triange (Small side = 8/ Median side = y /large side =12

Median triangle(small side = y/ Median side = x/ Large side = z

             And then the 2 triangles make a big  triangle:

Large triangle (small side=12/ Median side= z/  Large side = 8+x

PLEASE HELP WILL GIVE BRAINLIST HURRY PLS

Answers

Answer:

we know the trapezoids are similar, so that means all sides are at a ratio, thus

that means from the model to actual, the scale is 1:12, so the large side is 12 times as large.

so for the large trapezoid

EF = 6 * 12 =... 72

EH = 4 * 12 =.. 48

HG = 3 * 12 = ..36

GF = 3 * 12 =...36

72+48+36+36 = 192.

Step-by-step explanation:


at a town fair it cost 9$ to enter and 1.50$ on each ride. represent this function in at least three ways

Answers

Answer:

1 2 3 ways for it to function

Step-by-step explanation:

SAT math scores for a particular year are normally distributed with a mean of 510 and a standard deviation of 80.

What is the probability that a randomly selected score is greater than 590? Enter the numerical answer only (no percent sign).

Answers

Using the normal distribution, it is found that there is a 16% probability that a randomly selected score is greater than 590.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 510[/tex] and [tex]\sigma = 80[/tex].

The probability that a randomly selected score is greater than 590 is one subtracted by the p-value of Z when X = 590, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{590 - 510}{80}[/tex]

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16.

0.16 = 16% probability that a randomly selected score is greater than 590.

More can be learned about the normal distribution at https://brainly.com/question/24663213

C is a circle with centre (0,0)
L is a straight line with negative gradient.
The circle C and the line L intersect at the points A and B.
The coordinates of A are (-9,2)
The x coordinate of B is 7
Find an equation of L.

Answers

Answer:

Step-by-step explanation:

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