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

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Answer 1 · 2018-05-03T13:59:09

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

Expand each bracket and then collect like terms

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

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

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

How do you simplify −x2z(2z2+4xz3)+xz2(xz+5x3z)+x2z3(3x2z+4xz)-x^2z(2z^2+4xz^3)+xz^2(xz+5x^3z)+x^2z^3(3x^2z+4xz)?