Evaluate
\frac{x\left(x+3\right)}{4}
Expand
\frac{x^{2}+3x}{4}
Graph
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\frac{x\left(x-4\right)\left(x+3\right)}{4\left(x-4\right)\left(x+4\right)}\left(x+4\right)
Factor the expressions that are not already factored in \frac{x^{3}-x^{2}-12x}{4x^{2}-64}.
\frac{x\left(x+3\right)}{4\left(x+4\right)}\left(x+4\right)
Cancel out x-4 in both numerator and denominator.
\frac{x\left(x+3\right)\left(x+4\right)}{4\left(x+4\right)}
Express \frac{x\left(x+3\right)}{4\left(x+4\right)}\left(x+4\right) as a single fraction.
\frac{x\left(x+3\right)}{4}
Cancel out x+4 in both numerator and denominator.
\frac{x^{2}+3x}{4}
Use the distributive property to multiply x by x+3.
\frac{x\left(x-4\right)\left(x+3\right)}{4\left(x-4\right)\left(x+4\right)}\left(x+4\right)
Factor the expressions that are not already factored in \frac{x^{3}-x^{2}-12x}{4x^{2}-64}.
\frac{x\left(x+3\right)}{4\left(x+4\right)}\left(x+4\right)
Cancel out x-4 in both numerator and denominator.
\frac{x\left(x+3\right)\left(x+4\right)}{4\left(x+4\right)}
Express \frac{x\left(x+3\right)}{4\left(x+4\right)}\left(x+4\right) as a single fraction.
\frac{x\left(x+3\right)}{4}
Cancel out x+4 in both numerator and denominator.
\frac{x^{2}+3x}{4}
Use the distributive property to multiply x by x+3.
Examples
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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}