Evaluate
-x\left(13x^{2}-8x+11\right)
Expand
-13x^{3}+8x^{2}-11x
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-7x^{3}-7x^{2}+7x-3x\left(2x^{2}-5x+6\right)
Use the distributive property to multiply -7x by x^{2}+x-1.
-7x^{3}-7x^{2}+7x-6x^{3}+15x^{2}-18x
Use the distributive property to multiply -3x by 2x^{2}-5x+6.
-13x^{3}-7x^{2}+7x+15x^{2}-18x
Combine -7x^{3} and -6x^{3} to get -13x^{3}.
-13x^{3}+8x^{2}+7x-18x
Combine -7x^{2} and 15x^{2} to get 8x^{2}.
-13x^{3}+8x^{2}-11x
Combine 7x and -18x to get -11x.
-7x^{3}-7x^{2}+7x-3x\left(2x^{2}-5x+6\right)
Use the distributive property to multiply -7x by x^{2}+x-1.
-7x^{3}-7x^{2}+7x-6x^{3}+15x^{2}-18x
Use the distributive property to multiply -3x by 2x^{2}-5x+6.
-13x^{3}-7x^{2}+7x+15x^{2}-18x
Combine -7x^{3} and -6x^{3} to get -13x^{3}.
-13x^{3}+8x^{2}+7x-18x
Combine -7x^{2} and 15x^{2} to get 8x^{2}.
-13x^{3}+8x^{2}-11x
Combine 7x and -18x to get -11x.
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y = 3x + 4
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Matrix
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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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