Solve {-4y^3-[2x+7xy-(5y^3+2x)-7xy^3)}2y^3+8xy

$$\{ - 4 y ^ { 3 } - [ 2 x + 7 x y - ( 5 y ^ { 3 } + 2 x ) - 7 x y ^ { 3 } ) \} 2 y ^ { 3 } + 8 x y$$

Factor

$$2y\left(y^{3}\left(7xy^{2}-7x+y^{2}\right)+4x\right)$$

Solution Steps

Factor out 2.

$$2\left(-4y^{3}-\left(2x+7xy-\left(5y^{3}+2x\right)-7xy^{3}\right)y^{3}+4xy\right)$$

Consider -4y^{3}-\left(2x+7xy-\left(5y^{3}+2x\right)-7xy^{3}\right)y^{3}+4xy. Factor out y.

$$y\left(-4y^{3}-\left(2x+7xy-\left(5y^{3}+2x\right)-7xy^{3}\right)y^{2}+4x\right)$$

Rewrite the complete factored expression.

$$2y\left(-4y^{3}-\left(2x+7xy-\left(5y^{3}+2x\right)-7xy^{3}\right)y^{2}+4x\right)$$

Evaluate

$$2y\left(y^{3}\left(7xy^{2}-7x+y^{2}\right)+4x\right)$$