Evaluate
-\frac{x^{2}}{x+3}
Expand
-\frac{x^{2}}{x+3}
Graph
Quiz
Polynomial
5 problems similar to:
\frac{ 3-x }{ x } \times \frac{ { x }^{ 3 } }{ { x }^{ 2 } -9 }
Share
Copied to clipboard
\frac{\left(3-x\right)x^{3}}{x\left(x^{2}-9\right)}
Multiply \frac{3-x}{x} times \frac{x^{3}}{x^{2}-9} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(-x+3\right)x^{2}}{x^{2}-9}
Cancel out x in both numerator and denominator.
\frac{\left(-x+3\right)x^{2}}{\left(x-3\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{-\left(x-3\right)x^{2}}{\left(x-3\right)\left(x+3\right)}
Extract the negative sign in 3-x.
\frac{-x^{2}}{x+3}
Cancel out x-3 in both numerator and denominator.
\frac{\left(3-x\right)x^{3}}{x\left(x^{2}-9\right)}
Multiply \frac{3-x}{x} times \frac{x^{3}}{x^{2}-9} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(-x+3\right)x^{2}}{x^{2}-9}
Cancel out x in both numerator and denominator.
\frac{\left(-x+3\right)x^{2}}{\left(x-3\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{-\left(x-3\right)x^{2}}{\left(x-3\right)\left(x+3\right)}
Extract the negative sign in 3-x.
\frac{-x^{2}}{x+3}
Cancel out x-3 in both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}