Evaluate
x\left(x^{2}-2x-10\right)
Expand
x^{3}-2x^{2}-10x
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-8x^{2}-10x+x\left(x^{2}+6x\right)
Use the distributive property to multiply -2 by 4x^{2}+5x.
-8x^{2}-10x+x^{3}+6x^{2}
Use the distributive property to multiply x by x^{2}+6x.
-2x^{2}-10x+x^{3}
Combine -8x^{2} and 6x^{2} to get -2x^{2}.
-8x^{2}-10x+x\left(x^{2}+6x\right)
Use the distributive property to multiply -2 by 4x^{2}+5x.
-8x^{2}-10x+x^{3}+6x^{2}
Use the distributive property to multiply x by x^{2}+6x.
-2x^{2}-10x+x^{3}
Combine -8x^{2} and 6x^{2} to get -2x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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
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