Question

How do you simplify `8x (x^3 + 2x^2 + x) + 4x (x^2 - x + 4)`?

Answer 1

Multiply out to get rid of the brackets and then factorise

Explanation:

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

= `8x^4+ 20x^3 +4x^2` = `4x^2(2x^2+5x+1)`