Solve 2z^2+8z-17/(z-2)(z-1)(z+1)

$$\frac { 2 z ^ { 2 } + 8 z - 17 } { ( z - 2 ) ( z - 1 ) ( z + 1 ) }$$

Evaluate

$$\frac{2z^{2}+8z-17}{\left(z-2\right)\left(z^{2}-1\right)}$$

Short Solution Steps

Use the distributive property to multiply z-2 by z-1 and combine like terms.

$$\frac{2z^{2}+8z-17}{\left(z^{2}-3z+2\right)\left(z+1\right)}$$

Use the distributive property to multiply z^{2}-3z+2 by z+1 and combine like terms.

$$\frac{2z^{2}+8z-17}{z^{3}-2z^{2}-z+2}$$

Expand

$$\frac{2z^{2}+8z-17}{\left(z-2\right)\left(z^{2}-1\right)}$$

Short Solution Steps

Use the distributive property to multiply z-2 by z-1 and combine like terms.

$$\frac{2z^{2}+8z-17}{\left(z^{2}-3z+2\right)\left(z+1\right)}$$

Use the distributive property to multiply z^{2}-3z+2 by z+1 and combine like terms.

$$\frac{2z^{2}+8z-17}{z^{3}-2z^{2}-z+2}$$