Evaluate
\frac{x\left(6x^{3}-5x^{2}+4x+3\right)}{2}
Expand
3x^{4}-\frac{5x^{3}}{2}+2x^{2}+\frac{3x}{2}
Graph
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-\frac{3}{2}x^{3}+2x^{2}+\frac{3}{2}x-\frac{1}{2}x^{2}\left(2x-6x^{2}\right)
Use the distributive property to multiply \frac{1}{2}x by -3x^{2}+4x+3.
-\frac{3}{2}x^{3}+2x^{2}+\frac{3}{2}x-x^{3}+3x^{4}
Use the distributive property to multiply -\frac{1}{2}x^{2} by 2x-6x^{2}.
-\frac{5}{2}x^{3}+2x^{2}+\frac{3}{2}x+3x^{4}
Combine -\frac{3}{2}x^{3} and -x^{3} to get -\frac{5}{2}x^{3}.
-\frac{3}{2}x^{3}+2x^{2}+\frac{3}{2}x-\frac{1}{2}x^{2}\left(2x-6x^{2}\right)
Use the distributive property to multiply \frac{1}{2}x by -3x^{2}+4x+3.
-\frac{3}{2}x^{3}+2x^{2}+\frac{3}{2}x-x^{3}+3x^{4}
Use the distributive property to multiply -\frac{1}{2}x^{2} by 2x-6x^{2}.
-\frac{5}{2}x^{3}+2x^{2}+\frac{3}{2}x+3x^{4}
Combine -\frac{3}{2}x^{3} and -x^{3} to get -\frac{5}{2}x^{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}