Evaluate
\left(x-3\right)\left(x-1\right)\left(x+2\right)
Expand
x^{3}-2x^{2}-5x+6
Graph
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\left(x^{2}-3x-x+3\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-1 by each term of x-3.
\left(x^{2}-4x+3\right)\left(x+2\right)
Combine -3x and -x to get -4x.
x^{3}+2x^{2}-4x^{2}-8x+3x+6
Apply the distributive property by multiplying each term of x^{2}-4x+3 by each term of x+2.
x^{3}-2x^{2}-8x+3x+6
Combine 2x^{2} and -4x^{2} to get -2x^{2}.
x^{3}-2x^{2}-5x+6
Combine -8x and 3x to get -5x.
\left(x^{2}-3x-x+3\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-1 by each term of x-3.
\left(x^{2}-4x+3\right)\left(x+2\right)
Combine -3x and -x to get -4x.
x^{3}+2x^{2}-4x^{2}-8x+3x+6
Apply the distributive property by multiplying each term of x^{2}-4x+3 by each term of x+2.
x^{3}-2x^{2}-8x+3x+6
Combine 2x^{2} and -4x^{2} to get -2x^{2}.
x^{3}-2x^{2}-5x+6
Combine -8x and 3x to get -5x.
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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
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