Question

15x^2 - 25 answer with a complete sentence

Answer 1

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.

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.