Evaluate
-x\left(5x^{2}+3x+5\right)
Expand
-5x^{3}-3x^{2}-5x
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x^{2}-4x-5x^{3}-x-4x^{2}
To find the opposite of 5x^{3}+x+4x^{2}, find the opposite of each term.
x^{2}-5x-5x^{3}-4x^{2}
Combine -4x and -x to get -5x.
-3x^{2}-5x-5x^{3}
Combine x^{2} and -4x^{2} to get -3x^{2}.
x^{2}-4x-5x^{3}-x-4x^{2}
To find the opposite of 5x^{3}+x+4x^{2}, find the opposite of each term.
x^{2}-5x-5x^{3}-4x^{2}
Combine -4x and -x to get -5x.
-3x^{2}-5x-5x^{3}
Combine x^{2} and -4x^{2} to get -3x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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\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}