Question

Factor the expression below.

Answer 1

D.
`(9x-10)(9x+10)`

Explanation:

We need to factor the given expression
`81x^2-100`

`81x^2-100`

`=9^2x^2-10^2`

Apply formula
`a^x*b^x=(a*b)^x`

`=(9x)^2-10^2`

Apply formula
`a^2-b^2=(a+b)(a-b)`

`=(9x+10)(9x-10)`

`=(9x-10)(9x+10)`

Hence final answer is choice D.
`(9x-10)(9x+10)`