Evaluate
4\left(x+3\right)
Expand
4x+12
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\frac{4\left(x+3\right)x^{2}}{2\left(x-8\right)x^{2}}\times \frac{2x^{2}-10x-48}{x+3}
Factor the expressions that are not already factored in \frac{4x^{3}+12x^{2}}{2x^{3}-16x^{2}}.
\frac{2\left(x+3\right)}{x-8}\times \frac{2x^{2}-10x-48}{x+3}
Cancel out 2x^{2} in both numerator and denominator.
\frac{2\left(x+3\right)}{x-8}\times \frac{2\left(x-8\right)\left(x+3\right)}{x+3}
Factor the expressions that are not already factored in \frac{2x^{2}-10x-48}{x+3}.
\frac{2\left(x+3\right)}{x-8}\times 2\left(x-8\right)
Cancel out x+3 in both numerator and denominator.
\frac{2\left(x+3\right)}{x-8}\left(2x-16\right)
Expand the expression.
\frac{2\left(x+3\right)\left(2x-16\right)}{x-8}
Express \frac{2\left(x+3\right)}{x-8}\left(2x-16\right) as a single fraction.
\frac{2^{2}\left(x-8\right)\left(x+3\right)}{x-8}
Factor the expressions that are not already factored.
2^{2}\left(x+3\right)
Cancel out x-8 in both numerator and denominator.
4x+12
Expand the expression.
\frac{4\left(x+3\right)x^{2}}{2\left(x-8\right)x^{2}}\times \frac{2x^{2}-10x-48}{x+3}
Factor the expressions that are not already factored in \frac{4x^{3}+12x^{2}}{2x^{3}-16x^{2}}.
\frac{2\left(x+3\right)}{x-8}\times \frac{2x^{2}-10x-48}{x+3}
Cancel out 2x^{2} in both numerator and denominator.
\frac{2\left(x+3\right)}{x-8}\times \frac{2\left(x-8\right)\left(x+3\right)}{x+3}
Factor the expressions that are not already factored in \frac{2x^{2}-10x-48}{x+3}.
\frac{2\left(x+3\right)}{x-8}\times 2\left(x-8\right)
Cancel out x+3 in both numerator and denominator.
\frac{2\left(x+3\right)}{x-8}\left(2x-16\right)
Expand the expression.
\frac{2\left(x+3\right)\left(2x-16\right)}{x-8}
Express \frac{2\left(x+3\right)}{x-8}\left(2x-16\right) as a single fraction.
\frac{2^{2}\left(x-8\right)\left(x+3\right)}{x-8}
Factor the expressions that are not already factored.
2^{2}\left(x+3\right)
Cancel out x-8 in both numerator and denominator.
4x+12
Expand the expression.
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}