Evaluate
\left(3x-1\right)\left(x^{2}-9\right)
Expand
3x^{3}-x^{2}-27x+9
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\left(3x^{2}+9x-x-3\right)\left(x-3\right)
Apply the distributive property by multiplying each term of 3x-1 by each term of x+3.
\left(3x^{2}+8x-3\right)\left(x-3\right)
Combine 9x and -x to get 8x.
3x^{3}-9x^{2}+8x^{2}-24x-3x+9
Apply the distributive property by multiplying each term of 3x^{2}+8x-3 by each term of x-3.
3x^{3}-x^{2}-24x-3x+9
Combine -9x^{2} and 8x^{2} to get -x^{2}.
3x^{3}-x^{2}-27x+9
Combine -24x and -3x to get -27x.
\left(3x^{2}+9x-x-3\right)\left(x-3\right)
Apply the distributive property by multiplying each term of 3x-1 by each term of x+3.
\left(3x^{2}+8x-3\right)\left(x-3\right)
Combine 9x and -x to get 8x.
3x^{3}-9x^{2}+8x^{2}-24x-3x+9
Apply the distributive property by multiplying each term of 3x^{2}+8x-3 by each term of x-3.
3x^{3}-x^{2}-24x-3x+9
Combine -9x^{2} and 8x^{2} to get -x^{2}.
3x^{3}-x^{2}-27x+9
Combine -24x and -3x to get -27x.
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
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}