Question

Factor completely 25x2 − 36.

Answer 1

25x² - 36
25x² + 30x - 30x - 36
5x(5x) + 5x(6) - 6(5x) - 6(6)
5x(5x + 6) - 6(5x + 6)
(5x - 6)(5x + 6)

The answer is C.

Answer 2

Answer:

Option (3) is correct.

The factored form of given equation $25x^2-36$ is $(5x+6)(5x-6)$

Step-by-step explanation:

Given : equation $25x^2-36$

We have to factorize the given equation completely.

Consider the given equation $25x^2-36$

Using algebraic identity $a^2-b^2=(a+b)(a-b)$

We have ,

$25x^2-36$ can be written as $(5x)^2-(6)^2$

Applying above idenity, we have,

$(5x)^2-(6)^2=(5x+6)(5x-6)$

Thus, the factored form of given equation $25x^2-36$ is $(5x+6)(5x-6)$