Evaluate
x\left(-6x^{2}+18x-1\right)
Expand
-6x^{3}+18x^{2}-x
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5x-6x\left(1-3x+x^{2}\right)
Multiply -1 and 6 to get -6.
5x-6x+18x^{2}-6x^{3}
Use the distributive property to multiply -6x by 1-3x+x^{2}.
-x+18x^{2}-6x^{3}
Combine 5x and -6x to get -x.
5x-6x\left(1-3x+x^{2}\right)
Multiply -1 and 6 to get -6.
5x-6x+18x^{2}-6x^{3}
Use the distributive property to multiply -6x by 1-3x+x^{2}.
-x+18x^{2}-6x^{3}
Combine 5x and -6x to get -x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}