Evaluate
-5x^{3}-2x^{2}+11x-1
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-5x^{3}-2x^{2}+11x-1
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-x-1-2x\left(x^{2}+x\right)-3x\left(x^{2}-4\right)
To find the opposite of x+1, find the opposite of each term.
-x-1-2x^{3}-2x^{2}-3x\left(x^{2}-4\right)
Use the distributive property to multiply -2x by x^{2}+x.
-x-1-2x^{3}-2x^{2}-3x^{3}+12x
Use the distributive property to multiply -3x by x^{2}-4.
-x-1-5x^{3}-2x^{2}+12x
Combine -2x^{3} and -3x^{3} to get -5x^{3}.
11x-1-5x^{3}-2x^{2}
Combine -x and 12x to get 11x.
-x-1-2x\left(x^{2}+x\right)-3x\left(x^{2}-4\right)
To find the opposite of x+1, find the opposite of each term.
-x-1-2x^{3}-2x^{2}-3x\left(x^{2}-4\right)
Use the distributive property to multiply -2x by x^{2}+x.
-x-1-2x^{3}-2x^{2}-3x^{3}+12x
Use the distributive property to multiply -3x by x^{2}-4.
-x-1-5x^{3}-2x^{2}+12x
Combine -2x^{3} and -3x^{3} to get -5x^{3}.
11x-1-5x^{3}-2x^{2}
Combine -x and 12x to get 11x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}