Evaluate
\frac{\left(x-1\right)x^{2}}{x^{2}+1}
Expand
\frac{x^{3}-x^{2}}{x^{2}+1}
Graph
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\frac{x^{3}+1-\left(x^{2}+1\right)}{x^{2}+1}
Since \frac{x^{3}+1}{x^{2}+1} and \frac{x^{2}+1}{x^{2}+1} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{3}+1-x^{2}-1}{x^{2}+1}
Do the multiplications in x^{3}+1-\left(x^{2}+1\right).
\frac{x^{3}-x^{2}}{x^{2}+1}
Combine like terms in x^{3}+1-x^{2}-1.
\frac{x^{3}+1-\left(x^{2}+1\right)}{x^{2}+1}
Since \frac{x^{3}+1}{x^{2}+1} and \frac{x^{2}+1}{x^{2}+1} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{3}+1-x^{2}-1}{x^{2}+1}
Do the multiplications in x^{3}+1-\left(x^{2}+1\right).
\frac{x^{3}-x^{2}}{x^{2}+1}
Combine like terms in x^{3}+1-x^{2}-1.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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