Solve 20x^{2}y^{2}+4x^{2}y^{2}-18x^2y^2-11x^2y^2

$$20 x ^ { 2 } y ^ { 2 } + 4 x ^ { 2 } y ^ { 2 } - 18 x ^ { 2 } y ^ { 2 } - 11 x ^ { 2 } y ^ { 2 }$$

Evaluate

$$-5\left(xy\right)^{2}$$

Solution Steps

Combine 20x^{2}y^{2} and 4x^{2}y^{2} to get 24x^{2}y^{2}.

$$24x^{2}y^{2}-18x^{2}y^{2}-11x^{2}y^{2}$$

Combine 24x^{2}y^{2} and -18x^{2}y^{2} to get 6x^{2}y^{2}.

$$6x^{2}y^{2}-11x^{2}y^{2}$$

Combine 6x^{2}y^{2} and -11x^{2}y^{2} to get -5x^{2}y^{2}.

$$-5x^{2}y^{2}$$

Differentiate w.r.t. x

$$-10xy^{2}$$