Solve 2x^{4}y^{4}+3/4x^{4}y^{4}-1/2x^{4}y^{4}):(-1/8x^2y+2x^2y)+(2/3x-frac{3}{5}x+x)(-2xy^2+frac{3}{2}xy^2)

$$2 x ^ { 4 } y ^ { 4 } + \frac { 3 } { 4 } x ^ { 4 } y ^ { 4 } - \frac { 1 } { 2 } x ^ { 4 } y ^ { 4 } ) : ( - \frac { 1 } { 8 } x ^ { 2 } y + 2 x ^ { 2 } y ) + ( \frac { 2 } { 3 } x - \frac { 3 } { 5 } x + x ) ( - 2 x y ^ { 2 } + \frac { 3 } { 2 } x y ^ { 2 } )$$

Evaluate

$$\frac{9\left(xy\right)^{4}}{4}$$

Solution Steps

Combine 2x^{4}y^{4} and \frac{3}{4}x^{4}y^{4} to get \frac{11}{4}x^{4}y^{4}.

$$\frac{11}{4}x^{4}y^{4}-\frac{1}{2}x^{4}y^{4}$$

Combine \frac{11}{4}x^{4}y^{4} and -\frac{1}{2}x^{4}y^{4} to get \frac{9}{4}x^{4}y^{4}.

$$\frac{9}{4}x^{4}y^{4}$$

Differentiate w.r.t. x

$$9x^{3}y^{4}$$