Question

What is the completely factored form of 8x2 – 50? a. 2(x+5)(x-5), b. 2(2x-5)(2x-5), c. 2(2x+5)(2x+5), d. 2(2x+5)(2x-5)

Answer 1

the answer will be D

Answer 2

Option D

`2(2x+5)(2x-5)`

Explanation:

we have

`8x^(2) -50`

we know that

`8x^(2) -50=2(4x^(2) -25)`

Remember difference of squares

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

so

Applying difference of squares

`2(4x^(2) -25)=2(2x+5)(2x-5)`