Question

What is the expression in factored form?

25x^2 - 49

Answer 1

25x^2 - 49 = (5x-7)(5x+7)

Explanation:

Given the expression is 25x^2 - 49.

We can compare the given problem with "Difference of square formula" i.e. a^2 - b^2 = (a-b)(a+b).

We have 25x^2 - 49.

25x^2 - 49 = (5x)^2 - (7)^2

25x^2 - 49 = (5x-7)(5x+7)

Hence, the factored form is 25x^2 - 49 = (5x-7)(5x+7).