Question

How do you factor `x^4 + 27x`?

Answer 1

`=x(x+3)(x^2-3x+9)`

Explanation:

`x^4+27x`
`=x(x^3+27)`
`=x(x^3+3^3)`
As per formula `a^3+b^3=(a+b)(a^2-ab+b^2)`
we can write
`=x(x+3)(x^2-3x+3^2)`
`=x(x+3)(x^2-3x+9)`