Solve -15xyzdiv(5x^2y)*3yz

$$- 15 x y z \div ( 5 x ^ { 2 } y ) \times 3 y z$$

Evaluate

$$-\frac{9yz^{2}}{x}$$

Solution Steps

Cancel out 5xy in both numerator and denominator.

$$\frac{-3z}{x}\times 3yz$$

Express \frac{-3z}{x}\times 3 as a single fraction.

$$\frac{-3z\times 3}{x}yz$$

Express \frac{-3z\times 3}{x}y as a single fraction.

$$\frac{-3z\times 3y}{x}z$$

Express \frac{-3z\times 3y}{x}z as a single fraction.

$$\frac{-3z\times 3yz}{x}$$

Multiply z and z to get z^{2}.

$$\frac{-3z^{2}\times 3y}{x}$$

Multiply -3 and 3 to get -9.

$$\frac{-9z^{2}y}{x}$$

Differentiate w.r.t. x

$$9\times \left(\frac{z}{x}\right)^{2}y$$