Evaluate
\left(5x-8\right)\left(x+5\right)\left(2x+1\right)
Expand
10x^{3}+39x^{2}-63x-40
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10x^{3}+50x^{2}-11x\left(x+5\right)-8\left(x+5\right)
Use the distributive property to multiply 10x^{2} by x+5.
10x^{3}+50x^{2}-11x\left(x+5\right)-8x-40
Use the distributive property to multiply -8 by x+5.
10x^{3}+50x^{2}-11x^{2}-55x-8x-40
Use the distributive property to multiply -11x by x+5.
10x^{3}+39x^{2}-55x-8x-40
Combine 50x^{2} and -11x^{2} to get 39x^{2}.
10x^{3}+39x^{2}-63x-40
Combine -55x and -8x to get -63x.
10x^{3}+50x^{2}-11x\left(x+5\right)-8\left(x+5\right)
Use the distributive property to multiply 10x^{2} by x+5.
10x^{3}+50x^{2}-11x\left(x+5\right)-8x-40
Use the distributive property to multiply -8 by x+5.
10x^{3}+50x^{2}-11x^{2}-55x-8x-40
Use the distributive property to multiply -11x by x+5.
10x^{3}+39x^{2}-55x-8x-40
Combine 50x^{2} and -11x^{2} to get 39x^{2}.
10x^{3}+39x^{2}-63x-40
Combine -55x and -8x to get -63x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}