Solve 1/6left(x+5right)+1/3x^3left(13-xright)/x^2-1

$$\frac{ \frac{ 1 }{ 6 } \left( x+5 \right) + \frac{ 1 }{ 3 } { x }^{ 3 } \left( 13-x \right) }{ { x }^{ 2 } -1 }$$

Evaluate

$$\frac{5+x+26x^{3}-2x^{4}}{6\left(x^{2}-1\right)}$$

Short Solution Steps

Use the distributive property to multiply \frac{1}{6} by x+5.

$$\frac{\frac{1}{6}x+\frac{5}{6}+\frac{1}{3}x^{3}\left(13-x\right)}{x^{2}-1}$$

Use the distributive property to multiply \frac{1}{3}x^{3} by 13-x.

$$\frac{\frac{1}{6}x+\frac{5}{6}+\frac{13}{3}x^{3}-\frac{1}{3}x^{4}}{x^{2}-1}$$

Expand

$$-\frac{2x^{4}-26x^{3}-x-5}{6\left(x^{2}-1\right)}$$

Short Solution Steps

Use the distributive property to multiply \frac{1}{6} by x+5.

$$\frac{\frac{1}{6}x+\frac{5}{6}+\frac{1}{3}x^{3}\left(13-x\right)}{x^{2}-1}$$

Use the distributive property to multiply \frac{1}{3}x^{3} by 13-x.

$$\frac{\frac{1}{6}x+\frac{5}{6}+\frac{13}{3}x^{3}-\frac{1}{3}x^{4}}{x^{2}-1}$$