Solve x^2+1+x^3/frac{x^2+1{x^3}}

$$\frac { x ^ { 2 } + 1 + x ^ { 3 } } { \frac { x ^ { 2 } + 1 } { x ^ { 3 } } }$$

Evaluate

$$\frac{x^{3}\left(x^{3}+x^{2}+1\right)}{x^{2}+1}$$

Short Solution Steps

Divide x^{2}+1+x^{3} by \frac{x^{2}+1}{x^{3}} by multiplying x^{2}+1+x^{3} by the reciprocal of \frac{x^{2}+1}{x^{3}}.

$$\frac{\left(x^{2}+1+x^{3}\right)x^{3}}{x^{2}+1}$$

Use the distributive property to multiply x^{2}+1+x^{3} by x^{3}.

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

Expand

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

Short Solution Steps

Divide x^{2}+1+x^{3} by \frac{x^{2}+1}{x^{3}} by multiplying x^{2}+1+x^{3} by the reciprocal of \frac{x^{2}+1}{x^{3}}.

$$\frac{\left(x^{2}+1+x^{3}\right)x^{3}}{x^{2}+1}$$

Use the distributive property to multiply x^{2}+1+x^{3} by x^{3}.

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