Solve (xy/2-x/2y)(xy/2+x/2y)

$$( x \frac { y } { 2 } - \frac { x } { 2 } y ) ( x \frac { y } { 2 } + \frac { x } { 2 } y )$$

Evaluate

$$0$$

Solution Steps

Express x\times \frac{y}{2} as a single fraction.

$$\left(\frac{xy}{2}-\frac{x}{2}y\right)\left(x\times \frac{y}{2}+\frac{x}{2}y\right)$$

Express \frac{x}{2}y as a single fraction.

$$\left(\frac{xy}{2}-\frac{xy}{2}\right)\left(x\times \frac{y}{2}+\frac{x}{2}y\right)$$

Combine \frac{xy}{2} and -\frac{xy}{2} to get 0.

$$0\left(x\times \frac{y}{2}+\frac{x}{2}y\right)$$

Express x\times \frac{y}{2} as a single fraction.

$$0\left(\frac{xy}{2}+\frac{x}{2}y\right)$$

Express \frac{x}{2}y as a single fraction.

$$0\left(\frac{xy}{2}+\frac{xy}{2}\right)$$

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

$$0xy$$

Anything times zero gives zero.

$$0$$

Factor

$$0$$