Solve 2a+2b/2x*x^2/3a+3b

$$\frac { 2 a + 2 b } { 2 x } \cdot \frac { x ^ { 2 } } { 3 a + 3 b }$$

Evaluate

$$\frac{x}{3}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{2a+2b}{2x}.

$$\frac{2\left(a+b\right)}{2x}\times \frac{x^{2}}{3a+3b}$$

Cancel out 2 in both numerator and denominator.

$$\frac{a+b}{x}\times \frac{x^{2}}{3a+3b}$$

Multiply \frac{a+b}{x} times \frac{x^{2}}{3a+3b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a+b\right)x^{2}}{x\left(3a+3b\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{x\left(a+b\right)}{3a+3b}$$

Factor the expressions that are not already factored.

$$\frac{x\left(a+b\right)}{3\left(a+b\right)}$$

Cancel out a+b in both numerator and denominator.

$$\frac{x}{3}$$

Expand

$$\frac{x}{3}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{2a+2b}{2x}.

$$\frac{2\left(a+b\right)}{2x}\times \frac{x^{2}}{3a+3b}$$

Cancel out 2 in both numerator and denominator.

$$\frac{a+b}{x}\times \frac{x^{2}}{3a+3b}$$

Multiply \frac{a+b}{x} times \frac{x^{2}}{3a+3b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a+b\right)x^{2}}{x\left(3a+3b\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{x\left(a+b\right)}{3a+3b}$$

Factor the expressions that are not already factored.

$$\frac{x\left(a+b\right)}{3\left(a+b\right)}$$

Cancel out a+b in both numerator and denominator.

$$\frac{x}{3}$$