Evaluate
\left(x-3\right)\left(3x^{2}-3x-1\right)
Expand
3x^{3}-12x^{2}+8x+3
Graph
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3x^{3}-9x^{2}-3x\left(x-3\right)-\left(x-3\right)
Use the distributive property to multiply 3x^{2} by x-3.
3x^{3}-9x^{2}-3x\left(x-3\right)-x+3
To find the opposite of x-3, find the opposite of each term.
3x^{3}-9x^{2}-3x^{2}+9x-x+3
Use the distributive property to multiply -3x by x-3.
3x^{3}-12x^{2}+9x-x+3
Combine -9x^{2} and -3x^{2} to get -12x^{2}.
3x^{3}-12x^{2}+8x+3
Combine 9x and -x to get 8x.
3x^{3}-9x^{2}-3x\left(x-3\right)-\left(x-3\right)
Use the distributive property to multiply 3x^{2} by x-3.
3x^{3}-9x^{2}-3x\left(x-3\right)-x+3
To find the opposite of x-3, find the opposite of each term.
3x^{3}-9x^{2}-3x^{2}+9x-x+3
Use the distributive property to multiply -3x by x-3.
3x^{3}-12x^{2}+9x-x+3
Combine -9x^{2} and -3x^{2} to get -12x^{2}.
3x^{3}-12x^{2}+8x+3
Combine 9x and -x to get 8x.
Examples
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y = 3x + 4
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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}