Question

15x^2 - 25 answer with a complete sentence

Answer 1

Answer:

No, the following expression is not a difference of squares. Binomial can not be factored as the  difference of two perfect squares. 3 is not a square.

Step-by-step explanation:

Factor

15x^2 - 25

(15x)^2(-5)^5

Divide by 3 and factor

5(3x^2-5)

"Theory:

A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression."

I put a picture to help u understand.