Question

Stion Factor the difference of squares. x2 - 400 The factored form of x2 - 400 is

Answer 1

Answer:

The factored form of x²-400 is (x+20)(x-20).

Step-by-step explanation:

Given the expression

$x^2\:-\:400$

As the square of 20 is 400. Therefore, rewrite 400 as 20²

⇒ $x^2-20^2$

$\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$

Thus, the expression becomes

$x^2-20^2=\left(x+20\right)\left(x-20\right)$

Thus, the factored form of x²-400 is (x+20)(x-20).