Mathematics High School

Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?

Answers

Answer 1

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

⇒(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

⇒(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

⇒(x + p) (x + p) = x² + 2px + p²

Related Questions

there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?

Answers

Answer:

Im sorry i dont understand what you mean by sentence but there are 6 boys

Step-by-step explanation:

Find the area of the complex figure below.
A. 84 in^2
B. 90 in^2
C. 96 in^2
D. 102 in^2

Answers

Ok so you have to do the area of three different shapes then add them together so to find the area for the square and rectangle you need to find the sides to be equal so the square is already set you would do 6 times 5 and get 30 so how to do the rectangle is add 7 and 5 and get 12 so you would do 10 - 6 and get 4 and then do 12 times 4 which is 48 so, so far you have 78 for an area but you a triangle so you have a base of 3 because we found that the rectangle is 12 so 15-12 is 3 then we did the side for the rectangle which was 10-6 is 4 so for the triangle you would do 1/2 times 3 times 4 which would be 6 so 78 plus 6 and you would get 84 so A is your answer

HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?

Answers

Answer:

1/4 L

Step-by-step explanation:

2 1/2=10/4  10/4*3/4=30/16= 1 7/8

1 7/8=15/8        10/4*2=20/8          20/8-15/8=5/8

5/8-3/8=2/8 or 1/4 L

Answer: 1/4 L

In bottle 1/4 of chlorine solution is left in bottle.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.

And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.

Now,

Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8

                                        = 5 / 2 × 1/4 - 3/8

                                        = 5 / 8 - 2 / 8

                                        = 1 / 4

Thus, In bottle 1/4 of chlorine solution is left in bottle.

Learn more about the mathematical expression visit:

https://brainly.com/question/3624808

#SPJ2

The complete question is this;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?

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