Question

What is the factored form of 64g^3+8

Answer 1

The answer is (4g+2) 16g2 - 8g +4)

Answer 2

`(4g+2)(16g^2-8g+4)`

Explanation:

The given expression is
`64g^3+8`

Let us write this expression in perfect cube form

`(4g)^3+(2)^3`

Use the formula of sum of cubes which is given by

`a^3+b^3=(a+b)(a^2-ab+b)^2`

Here, a= 4g, b = 2

`(4g)^3+(2)^3= (4g+2)((4g)^2-(4g)(2)+2^2\\\\=(4g+2)(16g^2-8g+4)`

Thus, the factored form of the given expression is

`(4g+2)(16g^2-8g+4)`