Solve 7x/x-6divx/3(x-6)^2

$$\frac{7x}{x-6} \div \frac{x}{3{(x-6)}^{2}}$$

Evaluate

$$21\left(x-6\right)$$

Solution Steps

Divide \frac{7x}{x-6} by \frac{x}{3\left(x-6\right)^{2}} by multiplying \frac{7x}{x-6} by the reciprocal of \frac{x}{3\left(x-6\right)^{2}}.

$$\frac{7x\times 3\left(x-6\right)^{2}}{\left(x-6\right)x}$$

Cancel out x\left(x-6\right) in both numerator and denominator.

$$3\times 7\left(x-6\right)$$

Multiply 3 and 7 to get 21.

$$21\left(x-6\right)$$

Use the distributive property to multiply 21 by x-6.

$$21x-126$$

Expand

$$21x-126$$

Solution Steps

Divide \frac{7x}{x-6} by \frac{x}{3\left(x-6\right)^{2}} by multiplying \frac{7x}{x-6} by the reciprocal of \frac{x}{3\left(x-6\right)^{2}}.

$$\frac{7x\times 3\left(x-6\right)^{2}}{\left(x-6\right)x}$$

Cancel out x\left(x-6\right) in both numerator and denominator.

$$3\times 7\left(x-6\right)$$

Multiply 3 and 7 to get 21.

$$21\left(x-6\right)$$

Use the distributive property to multiply 21 by x-6.

$$21x-126$$