Question

How do you write `x^2-25` in factored form?

Answer 1

`color(blue)((x+5)(x-5)` is the factorised form of the expression.

Explanation:

`x^2-25 = x^2 - 5^2`

As per identity:
`color(blue)(a^2-b^2=(a+b)(a-b)`

The expression `x^2 - 5^2` represents the same identity.

Here:
`color(blue)(a=x)`
`color(blue)(b=5)`

So,`x^2 - 5^2 = color(blue)((x+5)(x-5)`