Question

How do you factor `250x^4 +128x`?

Answer 1

`250x^4+128x`

`=2x(125x^3+64)`

Use the rule : `a^3 + b^3 = (a + b)(a^2 – ab + b^2)`
`=(2x)[(5x)^3+(4)^3]`

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

`=(2x)(5x+4)(25x^2-20x+16)`