Solve 2x/2yx^2y^2

$$\frac { 2 x } { 2 y } x ^ { 2 } y ^ { 2 }$$

Evaluate

$$yx^{3}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{x}{y}x^{2}y^{2}$$

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

$$\frac{xx^{2}}{y}y^{2}$$

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

$$\frac{xx^{2}y^{2}}{y}$$

Cancel out y in both numerator and denominator.

$$xyx^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$x^{3}y$$

Differentiate w.r.t. x

$$3yx^{2}$$