Question

Factorize xsquare-25
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Answer 1

`\boxed{(x-5)(x+5)}`

Explanation:

x² - 25

Factor out square.

(x)² - (5)²

Apply difference of two squares formula.

a² - b² = (a-b)(a+b)

a = x

b = 5

x² - 25 = (x-5)(x+5)

Answer 2

The answer is (x + 5)(x - 5).

Explanation:

Assuming that 25 is a perfect square so you can apply :

`(a + b)(a - b) = {a}^(2) - {b}^(2)`

Test :

`(x+5)(x-5) = {x}^(2) - 5x + 5x - 25`

`(x+5)(x-5) = {x}^(2) - 25`