Question

Factorization of x3+8

Answer 1

I hope this helps you



x^3+2^3



(x+2)(x^2-2x+4)

Answer 2

The factor of
`x^(3)+8` is
`(x+2)(x^(2)-2x+4)`

Explanation:

We need to factorise the given expression
`x^(3)+8`

Re-write the expression
`x^(3)+8` as:

`x^(3)+2^(3)`

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

so, here a = x and b = 2

`(x+2)(x^(2)-2x+2^(2))`

`(x+2)(x^(2)-2x+4)`

Hence, The factor of
`x^(3)+8` is
`(x+2)(x^(2)-2x+4)`