Evaluate
\left(x+2\right)\left(x-1\right)^{2}
Expand
x^{3}-3x+2
Graph
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\left(x+2\right)\left(x-1\right)^{2}
Multiply x-1 and x-1 to get \left(x-1\right)^{2}.
\left(x+2\right)\left(x^{2}-2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{3}-2x^{2}+x+2x^{2}-4x+2
Apply the distributive property by multiplying each term of x+2 by each term of x^{2}-2x+1.
x^{3}+x-4x+2
Combine -2x^{2} and 2x^{2} to get 0.
x^{3}-3x+2
Combine x and -4x to get -3x.
\left(x+2\right)\left(x-1\right)^{2}
Multiply x-1 and x-1 to get \left(x-1\right)^{2}.
\left(x+2\right)\left(x^{2}-2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{3}-2x^{2}+x+2x^{2}-4x+2
Apply the distributive property by multiplying each term of x+2 by each term of x^{2}-2x+1.
x^{3}+x-4x+2
Combine -2x^{2} and 2x^{2} to get 0.
x^{3}-3x+2
Combine x and -4x to get -3x.
Examples
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Simultaneous equation
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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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