Solve (3x^2-2xy+5y^2)+(x^2+3xy-2y^2)

$$( 3 x ^ { 2 } - 2 x y + 5 y ^ { 2 } ) + ( x ^ { 2 } + 3 x y - 2 y ^ { 2 } )$$

Evaluate

$$4x^{2}+xy+3y^{2}$$

Solution Steps

Combine 3x^{2} and x^{2} to get 4x^{2}.

$$4x^{2}-2xy+5y^{2}+3xy-2y^{2}$$

Combine -2xy and 3xy to get xy.

$$4x^{2}+xy+5y^{2}-2y^{2}$$

Combine 5y^{2} and -2y^{2} to get 3y^{2}.

$$4x^{2}+xy+3y^{2}$$

Differentiate w.r.t. x

$$8x+y$$