Solve (3x^2y+5xy-4xy^2)+(5x^2+1/2x^2y-2xy)

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

Factor

$$\frac{x\left(7xy+10x-8y^{2}+6y\right)}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{6x^{2}y+10xy-8xy^{2}+10x^{2}+x^{2}y-4xy}{2}$$

Consider 6x^{2}y+10xy-8xy^{2}+10x^{2}+x^{2}y-4xy. Factor out x.

$$x\left(6xy+10y-8y^{2}+10x+xy-4y\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(7xy+10x-8y^{2}+6y\right)}{2}$$

Evaluate

$$\frac{x\left(7xy+10x-8y^{2}+6y\right)}{2}$$