Question

Express (x square+8x-15) (x square-8x-15) as a difference of two squares.

Answer 1

Answer:

Express (x square+8x-15) (x square-8x-15) as a difference of two square

we can rewrite it as

(x square+8x-15) (x square-8x-15) = (x^2-15 +8x) (x^2-15+8x)

by using property

(a+b)(a-b)=a^2-b^2

then

(x square+8x-15) (x square-8x-15)

= (x^2-15 +8x) (x^2-15+8x)

=(x^2-15)^2-(8x)^2

Answer:

(x square+8x-15) (x square-8x-15) = (x^2-15)^2-(8x)^2

Step-by-step explanation:

Answer 2

Given Equation is (x^2 + 8x + 15) and (x^2 - 8x + 15).

 The Equation can be written as,

((x^2 + 15) + 8x)((x^2 - 15) - 8x).

We know that (a + b)(a - b) = a^2 - b^2.

(x + 15)^2 - (8x)^2.

Hope this helps!