Evaluate
\left(x-4\right)\left(x+5\right)^{2}
Expand
x^{3}+6x^{2}-15x-100
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x^{3}-4x^{2}+10x\left(x-4\right)+25\left(x-4\right)
Use the distributive property to multiply x^{2} by x-4.
x^{3}-4x^{2}+10x^{2}-40x+25\left(x-4\right)
Use the distributive property to multiply 10x by x-4.
x^{3}+6x^{2}-40x+25\left(x-4\right)
Combine -4x^{2} and 10x^{2} to get 6x^{2}.
x^{3}+6x^{2}-40x+25x-100
Use the distributive property to multiply 25 by x-4.
x^{3}+6x^{2}-15x-100
Combine -40x and 25x to get -15x.
x^{3}-4x^{2}+10x\left(x-4\right)+25\left(x-4\right)
Use the distributive property to multiply x^{2} by x-4.
x^{3}-4x^{2}+10x^{2}-40x+25\left(x-4\right)
Use the distributive property to multiply 10x by x-4.
x^{3}+6x^{2}-40x+25\left(x-4\right)
Combine -4x^{2} and 10x^{2} to get 6x^{2}.
x^{3}+6x^{2}-40x+25x-100
Use the distributive property to multiply 25 by x-4.
x^{3}+6x^{2}-15x-100
Combine -40x and 25x to get -15x.
Examples
Quadratic equation
{ 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}