Evaluate
4\left(9-x\right)x^{2}
Expand
36x^{2}-4x^{3}
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2x^{3}-6\left(x-6\right)x^{2}
Multiply -1 and 6 to get -6.
2x^{3}+\left(-6x+36\right)x^{2}
Use the distributive property to multiply -6 by x-6.
2x^{3}-6x^{3}+36x^{2}
Use the distributive property to multiply -6x+36 by x^{2}.
-4x^{3}+36x^{2}
Combine 2x^{3} and -6x^{3} to get -4x^{3}.
2x^{3}-6\left(x-6\right)x^{2}
Multiply -1 and 6 to get -6.
2x^{3}+\left(-6x+36\right)x^{2}
Use the distributive property to multiply -6 by x-6.
2x^{3}-6x^{3}+36x^{2}
Use the distributive property to multiply -6x+36 by x^{2}.
-4x^{3}+36x^{2}
Combine 2x^{3} and -6x^{3} to get -4x^{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}