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

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Answer 1 · 2018-05-03T13:59:09

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

Expand each bracket and then collect like terms

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

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

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

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