Evaluate
\frac{29\left(x+4\right)\left(5x^{2}-2x-12\right)}{30}
Expand
\frac{29x^{3}}{6}+\frac{87x^{2}}{5}-\frac{58x}{3}-\frac{232}{5}
Graph
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\frac{58}{3}\left(\frac{5}{6}x^{2}-\frac{1}{3}x-2\right)\left(\frac{3}{10}x+\frac{6}{5}\right)
Multiply \frac{1}{3} and 58 to get \frac{58}{3}.
\left(\frac{145}{9}x^{2}-\frac{58}{9}x-\frac{116}{3}\right)\left(\frac{3}{10}x+\frac{6}{5}\right)
Use the distributive property to multiply \frac{58}{3} by \frac{5}{6}x^{2}-\frac{1}{3}x-2.
\frac{29}{6}x^{3}+\frac{87}{5}x^{2}-\frac{58}{3}x-\frac{232}{5}
Use the distributive property to multiply \frac{145}{9}x^{2}-\frac{58}{9}x-\frac{116}{3} by \frac{3}{10}x+\frac{6}{5} and combine like terms.
\frac{58}{3}\left(\frac{5}{6}x^{2}-\frac{1}{3}x-2\right)\left(\frac{3}{10}x+\frac{6}{5}\right)
Multiply \frac{1}{3} and 58 to get \frac{58}{3}.
\left(\frac{145}{9}x^{2}-\frac{58}{9}x-\frac{116}{3}\right)\left(\frac{3}{10}x+\frac{6}{5}\right)
Use the distributive property to multiply \frac{58}{3} by \frac{5}{6}x^{2}-\frac{1}{3}x-2.
\frac{29}{6}x^{3}+\frac{87}{5}x^{2}-\frac{58}{3}x-\frac{232}{5}
Use the distributive property to multiply \frac{145}{9}x^{2}-\frac{58}{9}x-\frac{116}{3} by \frac{3}{10}x+\frac{6}{5} and combine like terms.
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}