Solve 18x+30/30x^4*y/27x+45

$$\frac { 18 x + 30 } { 30 x ^ { 4 } } \cdot \frac { y } { 27 x + 45 }$$

Evaluate

$$\frac{y}{45x^{4}}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{18x+30}{30x^{4}}.

$$\frac{6\left(3x+5\right)}{30x^{4}}\times \frac{y}{27x+45}$$

Cancel out 6 in both numerator and denominator.

$$\frac{3x+5}{5x^{4}}\times \frac{y}{27x+45}$$

Multiply \frac{3x+5}{5x^{4}} times \frac{y}{27x+45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(3x+5\right)y}{5x^{4}\left(27x+45\right)}$$

Factor the expressions that are not already factored.

$$\frac{y\left(3x+5\right)}{5\times 9\left(3x+5\right)x^{4}}$$

Cancel out 3x+5 in both numerator and denominator.

$$\frac{y}{5\times 9x^{4}}$$

Expand the expression.

$$\frac{y}{45x^{4}}$$

Expand

$$\frac{y}{45x^{4}}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{18x+30}{30x^{4}}.

$$\frac{6\left(3x+5\right)}{30x^{4}}\times \frac{y}{27x+45}$$

Cancel out 6 in both numerator and denominator.

$$\frac{3x+5}{5x^{4}}\times \frac{y}{27x+45}$$

Multiply \frac{3x+5}{5x^{4}} times \frac{y}{27x+45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(3x+5\right)y}{5x^{4}\left(27x+45\right)}$$

Factor the expressions that are not already factored.

$$\frac{y\left(3x+5\right)}{5\times 9\left(3x+5\right)x^{4}}$$

Cancel out 3x+5 in both numerator and denominator.

$$\frac{y}{5\times 9x^{4}}$$

Expand the expression.

$$\frac{y}{45x^{4}}$$