Evaluate
\left(x-4\right)\left(x-1\right)\left(x+3\right)
Expand
x^{3}-2x^{2}-11x+12
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\left(x^{2}-x+3x-3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-1.
\left(x^{2}+2x-3\right)\left(x-4\right)
Combine -x and 3x to get 2x.
x^{3}-4x^{2}+2x^{2}-8x-3x+12
Apply the distributive property by multiplying each term of x^{2}+2x-3 by each term of x-4.
x^{3}-2x^{2}-8x-3x+12
Combine -4x^{2} and 2x^{2} to get -2x^{2}.
x^{3}-2x^{2}-11x+12
Combine -8x and -3x to get -11x.
\left(x^{2}-x+3x-3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-1.
\left(x^{2}+2x-3\right)\left(x-4\right)
Combine -x and 3x to get 2x.
x^{3}-4x^{2}+2x^{2}-8x-3x+12
Apply the distributive property by multiplying each term of x^{2}+2x-3 by each term of x-4.
x^{3}-2x^{2}-8x-3x+12
Combine -4x^{2} and 2x^{2} to get -2x^{2}.
x^{3}-2x^{2}-11x+12
Combine -8x and -3x to get -11x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}