Solve (5x^{2}-3y^{2}+4x^{2})+(7x^{2}-9x^2-110x^2-5x^2+7x^3)

$$( 5 x ^ { 2 } - 3 y ^ { 2 } + 4 x ^ { 2 } ) + ( 7 x ^ { 2 } - 9 x ^ { 2 } - 110 x ^ { 2 } - 5 x ^ { 2 } + 7 x ^ { 3 } )$$

Evaluate

$$7x^{3}-108x^{2}-3y^{2}$$

Solution Steps

Combine 5x^{2} and 4x^{2} to get 9x^{2}.

$$9x^{2}-3y^{2}+7x^{2}-9x^{2}-110x^{2}-5x^{2}+7x^{3}$$

Combine 9x^{2} and 7x^{2} to get 16x^{2}.

$$16x^{2}-3y^{2}-9x^{2}-110x^{2}-5x^{2}+7x^{3}$$

Combine 16x^{2} and -9x^{2} to get 7x^{2}.

$$7x^{2}-3y^{2}-110x^{2}-5x^{2}+7x^{3}$$

Combine 7x^{2} and -110x^{2} to get -103x^{2}.

$$-103x^{2}-3y^{2}-5x^{2}+7x^{3}$$

Combine -103x^{2} and -5x^{2} to get -108x^{2}.

$$-108x^{2}-3y^{2}+7x^{3}$$

Differentiate w.r.t. x

$$3x\left(7x-72\right)$$