Solve 5x^3-3xy-12y^2+7x^3-6xy+4y^2

$$5 x ^ { 3 } - 3 x y - 12 y ^ { 2 } + 7 x ^ { 3 } - 6 x y + 4 y ^ { 2 }$$

Evaluate

$$12x^{3}-9xy-8y^{2}$$

Solution Steps

Combine 5x^{3} and 7x^{3} to get 12x^{3}.

$$12x^{3}-3xy-12y^{2}-6xy+4y^{2}$$

Combine -3xy and -6xy to get -9xy.

$$12x^{3}-9xy-12y^{2}+4y^{2}$$

Combine -12y^{2} and 4y^{2} to get -8y^{2}.

$$12x^{3}-9xy-8y^{2}$$

Differentiate w.r.t. x

$$36x^{2}-9y$$