Solve frac{AquadQ_{1}quadB}{xquadx+y/2}

$$\frac { A \quad Q _ { 1 } \quad B } { x \quad \frac { x + y } { 2 } }$$

Evaluate

$$\frac{2ABQ_{1}}{x\left(x+y\right)}$$

Short Solution Steps

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

$$\frac{AQ_{1}B}{\frac{x\left(x+y\right)}{2}}$$

Divide AQ_{1}B by \frac{x\left(x+y\right)}{2} by multiplying AQ_{1}B by the reciprocal of \frac{x\left(x+y\right)}{2}.

$$\frac{AQ_{1}B\times 2}{x\left(x+y\right)}$$

Use the distributive property to multiply x by x+y.

$$\frac{AQ_{1}B\times 2}{x^{2}+xy}$$

Expand

$$\frac{2ABQ_{1}}{x\left(x+y\right)}$$

Short Solution Steps

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

$$\frac{AQ_{1}B}{\frac{x\left(x+y\right)}{2}}$$

Divide AQ_{1}B by \frac{x\left(x+y\right)}{2} by multiplying AQ_{1}B by the reciprocal of \frac{x\left(x+y\right)}{2}.

$$\frac{AQ_{1}B\times 2}{x\left(x+y\right)}$$

Use the distributive property to multiply x by x+y.

$$\frac{AQ_{1}B\times 2}{x^{2}+xy}$$