Question

Factor completely 25x² - 49

Answer 1

(5x-7) x (5x+7)

Explanation:

25x^2- 49

5^2 x 2^2 - 49

5^2 x 2^2 -7^2

(5x)^2 -7^2

(5x-7) x (5x+7)

Answer 2

(5x-7)(5x+7)

Explanation:

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

Remember that the difference of squares formula is
`a^2-b^2=(a-b)(a+b)`.