Evaluate
\left(4x-1\right)\left(31x^{2}+7x+1\right)
Expand
124x^{3}-3x^{2}-3x-1
Graph
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125x^{3}-\left(x^{3}+3x^{2}+3x+1\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+1\right)^{3}.
125x^{3}-x^{3}-3x^{2}-3x-1
To find the opposite of x^{3}+3x^{2}+3x+1, find the opposite of each term.
124x^{3}-3x^{2}-3x-1
Combine 125x^{3} and -x^{3} to get 124x^{3}.
125x^{3}-\left(x^{3}+3x^{2}+3x+1\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+1\right)^{3}.
125x^{3}-x^{3}-3x^{2}-3x-1
To find the opposite of x^{3}+3x^{2}+3x+1, find the opposite of each term.
124x^{3}-3x^{2}-3x-1
Combine 125x^{3} and -x^{3} to get 124x^{3}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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