Evaluate
2\left(x-4\right)\left(x^{2}-11x+31\right)
Expand
2x^{3}-30x^{2}+150x-248
Graph
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2\left(x^{3}-15x^{2}+75x-125\right)+2
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-5\right)^{3}.
2x^{3}-30x^{2}+150x-250+2
Use the distributive property to multiply 2 by x^{3}-15x^{2}+75x-125.
2x^{3}-30x^{2}+150x-248
Add -250 and 2 to get -248.
2\left(x^{3}-15x^{2}+75x-125\right)+2
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-5\right)^{3}.
2x^{3}-30x^{2}+150x-250+2
Use the distributive property to multiply 2 by x^{3}-15x^{2}+75x-125.
2x^{3}-30x^{2}+150x-248
Add -250 and 2 to get -248.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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