Solve 27^2(8-1)+z-2^2/z(z-1)

$$\frac { 27 ^ { 2 } ( 8 - 1 ) + z - 2 ^ { 2 } } { z ( z - 1 ) }$$

Evaluate

$$\frac{z+5099}{z\left(z-1\right)}$$

Short Solution Steps

Calculate 27 to the power of 2 and get 729.

$$\frac{729\left(8-1\right)+z-2^{2}}{z\left(z-1\right)}$$

Subtract 1 from 8 to get 7.

$$\frac{729\times 7+z-2^{2}}{z\left(z-1\right)}$$

Multiply 729 and 7 to get 5103.

$$\frac{5103+z-2^{2}}{z\left(z-1\right)}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{5103+z-4}{z\left(z-1\right)}$$

Subtract 4 from 5103 to get 5099.

$$\frac{5099+z}{z\left(z-1\right)}$$

Use the distributive property to multiply z by z-1.

$$\frac{5099+z}{z^{2}-z}$$

Expand

$$\frac{z+5099}{z\left(z-1\right)}$$

Short Solution Steps

Calculate 27 to the power of 2 and get 729.

$$\frac{729\left(8-1\right)+z-2^{2}}{z\left(z-1\right)}$$

Subtract 1 from 8 to get 7.

$$\frac{729\times 7+z-2^{2}}{z\left(z-1\right)}$$

Multiply 729 and 7 to get 5103.

$$\frac{5103+z-2^{2}}{z\left(z-1\right)}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{5103+z-4}{z\left(z-1\right)}$$

Subtract 4 from 5103 to get 5099.

$$\frac{5099+z}{z\left(z-1\right)}$$

Use the distributive property to multiply z by z-1.

$$\frac{5099+z}{z^{2}-z}$$