Evaluate
x\left(12-x-9x^{2}\right)
Expand
12x-x^{2}-9x^{3}
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3x^{3}-9x^{2}+12x-4\left(3x^{3}-2x^{2}\right)
Use the distributive property to multiply 3x by x^{2}-3x+4.
3x^{3}-9x^{2}+12x-12x^{3}+8x^{2}
Use the distributive property to multiply -4 by 3x^{3}-2x^{2}.
-9x^{3}-9x^{2}+12x+8x^{2}
Combine 3x^{3} and -12x^{3} to get -9x^{3}.
-9x^{3}-x^{2}+12x
Combine -9x^{2} and 8x^{2} to get -x^{2}.
3x^{3}-9x^{2}+12x-4\left(3x^{3}-2x^{2}\right)
Use the distributive property to multiply 3x by x^{2}-3x+4.
3x^{3}-9x^{2}+12x-12x^{3}+8x^{2}
Use the distributive property to multiply -4 by 3x^{3}-2x^{2}.
-9x^{3}-9x^{2}+12x+8x^{2}
Combine 3x^{3} and -12x^{3} to get -9x^{3}.
-9x^{3}-x^{2}+12x
Combine -9x^{2} and 8x^{2} to get -x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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}