Evaluate
\left(3-x\right)\left(x^{2}-4\right)
Expand
-x^{3}+3x^{2}+4x-12
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\left(3x-6-x^{2}+2x\right)\left(x+2\right)
Apply the distributive property by multiplying each term of 3-x by each term of x-2.
\left(5x-6-x^{2}\right)\left(x+2\right)
Combine 3x and 2x to get 5x.
5x^{2}+10x-6x-12-x^{3}-2x^{2}
Apply the distributive property by multiplying each term of 5x-6-x^{2} by each term of x+2.
5x^{2}+4x-12-x^{3}-2x^{2}
Combine 10x and -6x to get 4x.
3x^{2}+4x-12-x^{3}
Combine 5x^{2} and -2x^{2} to get 3x^{2}.
\left(3x-6-x^{2}+2x\right)\left(x+2\right)
Apply the distributive property by multiplying each term of 3-x by each term of x-2.
\left(5x-6-x^{2}\right)\left(x+2\right)
Combine 3x and 2x to get 5x.
5x^{2}+10x-6x-12-x^{3}-2x^{2}
Apply the distributive property by multiplying each term of 5x-6-x^{2} by each term of x+2.
5x^{2}+4x-12-x^{3}-2x^{2}
Combine 10x and -6x to get 4x.
3x^{2}+4x-12-x^{3}
Combine 5x^{2} and -2x^{2} to get 3x^{2}.
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}