Question

Express (x^2+8x+15) (x^2-8x+15) as a difference of two squares. Give proper explanation.

Answer 1

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!

Answer 2

heya !

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

It can be written as :-

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

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

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