Expand
8-9x+9x^{2}-3x^{3}
Evaluate
-3\left(x-1\right)^{3}+5
Graph
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-3\left(x^{3}-3x^{2}+3x-1\right)+5
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
-3x^{3}+9x^{2}-9x+3+5
Use the distributive property to multiply -3 by x^{3}-3x^{2}+3x-1.
-3x^{3}+9x^{2}-9x+8
Add 3 and 5 to get 8.
-3\left(x^{3}-3x^{2}+3x-1\right)+5
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
-3x^{3}+9x^{2}-9x+3+5
Use the distributive property to multiply -3 by x^{3}-3x^{2}+3x-1.
-3x^{3}+9x^{2}-9x+8
Add 3 and 5 to get 8.
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y = 3x + 4
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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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