Question

Factor completely 25x2 − 36.

(25x − 6)(x + 6)
(25x + 6)(x − 6)
(5x + 6)(5x − 6)
(5x − 6)(5x − 6)

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

Option (3) is correct.

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

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)`