Question

How do you simplify `-x^2z(2z^2+4xz^3)+xz^2(xz+5x^3z)+x^2z^3(3x^2z+4xz)`?

Answer 1

`8x^4z^3-x^2z^3`

Explanation:

Expand each bracket and then collect like terms

`-x^2z(2z^2+4xz^3)+xz^2(xz+5x^3z)+x^2z^3(3x^2z+4xz)`

`-2x^2z^3-4x^3z^4+x^2z^3+5x^4z^3+3x^4z^3+4x^3z^4`

`8x^4z^3-x^2z^3`