Solve -a^2xy+3/2a^2xy-1/2a^2xy)*(5/7ax+3/8xy-axy)

$$- a ^ { 2 } x y + \frac { 3 } { 2 } a ^ { 2 } x y - \frac { 1 } { 2 } a ^ { 2 } x y ) \cdot ( \frac { 5 } { 7 } a x + \frac { 3 } { 8 } x y - a x y )$$

Evaluate

$$0$$

Solution Steps

Combine \frac{3}{2}a^{2}xy and -\frac{1}{2}a^{2}xy to get a^{2}xy.

$$\left(-a^{2}\right)xy+a^{2}xy$$

Combine -a^{2}xy and a^{2}xy to get 0.

$$0$$

Factor

$$0$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{-2a^{2}xy+3a^{2}xy-a^{2}xy}{2}$$

Consider -2a^{2}xy+3a^{2}xy-a^{2}xy. Factor out a^{2}xy.

$$0$$

Rewrite the complete factored expression.

$$\frac{0}{2}$$