Solve (2xy+3/5x^2+xy-7/5y^2-3/2xy-7/5y^2

$$(2xy+ \frac{ 3 }{ 5 } { x }^{ 2 } +xy- \frac{ 7 }{ 5 } { y }^{ 2 } - \frac{ 3 }{ 2 } xy- \frac{ 7 }{ 5 } { y }^{ 2 }$$

Evaluate

$$\frac{3xy}{2}+\frac{3x^{2}}{5}-\frac{14y^{2}}{5}$$

Solution Steps

Combine 2xy and xy to get 3xy.

$$3xy+\frac{3}{5}x^{2}-\frac{7}{5}y^{2}-\frac{3}{2}xy-\frac{7}{5}y^{2}$$

Combine 3xy and -\frac{3}{2}xy to get \frac{3}{2}xy.

$$\frac{3}{2}xy+\frac{3}{5}x^{2}-\frac{7}{5}y^{2}-\frac{7}{5}y^{2}$$

Combine -\frac{7}{5}y^{2} and -\frac{7}{5}y^{2} to get -\frac{14}{5}y^{2}.

$$\frac{3}{2}xy+\frac{3}{5}x^{2}-\frac{14}{5}y^{2}$$

Factor

$$\frac{6x^{2}+15xy-28y^{2}}{10}$$

Solution Steps

Factor out \frac{1}{10}.

$$\frac{20xy+6x^{2}+10xy-14y^{2}-15xy-14y^{2}}{10}$$