Question

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

Answer 1

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

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).