Evaluate
3x^{3}+9x^{2}-x+3
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3x^{3}+9x^{2}-x+3
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x^{3}-x^{2}+x+3+2x\left(x^{2}+5x-1\right)
Use the distributive property to multiply x+1 by x^{2}-2x+3 and combine like terms.
x^{3}-x^{2}+x+3+2x^{3}+10x^{2}-2x
Use the distributive property to multiply 2x by x^{2}+5x-1.
3x^{3}-x^{2}+x+3+10x^{2}-2x
Combine x^{3} and 2x^{3} to get 3x^{3}.
3x^{3}+9x^{2}+x+3-2x
Combine -x^{2} and 10x^{2} to get 9x^{2}.
3x^{3}+9x^{2}-x+3
Combine x and -2x to get -x.
x^{3}-x^{2}+x+3+2x\left(x^{2}+5x-1\right)
Use the distributive property to multiply x+1 by x^{2}-2x+3 and combine like terms.
x^{3}-x^{2}+x+3+2x^{3}+10x^{2}-2x
Use the distributive property to multiply 2x by x^{2}+5x-1.
3x^{3}-x^{2}+x+3+10x^{2}-2x
Combine x^{3} and 2x^{3} to get 3x^{3}.
3x^{3}+9x^{2}+x+3-2x
Combine -x^{2} and 10x^{2} to get 9x^{2}.
3x^{3}+9x^{2}-x+3
Combine x and -2x to get -x.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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