Evaluate
8+16x-15x^{2}+6x^{3}-6x^{5}
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8+16x-15x^{2}+6x^{3}-6x^{5}
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-3x^{5}+20x-15x^{2}+6x^{5}+3-\left(9x^{5}+7x-6x^{3}-3x-5\right)
Combine 6x and 14x to get 20x.
3x^{5}+20x-15x^{2}+3-\left(9x^{5}+7x-6x^{3}-3x-5\right)
Combine -3x^{5} and 6x^{5} to get 3x^{5}.
3x^{5}+20x-15x^{2}+3-\left(9x^{5}+4x-6x^{3}-5\right)
Combine 7x and -3x to get 4x.
3x^{5}+20x-15x^{2}+3-9x^{5}-4x+6x^{3}+5
To find the opposite of 9x^{5}+4x-6x^{3}-5, find the opposite of each term.
-6x^{5}+20x-15x^{2}+3-4x+6x^{3}+5
Combine 3x^{5} and -9x^{5} to get -6x^{5}.
-6x^{5}+16x-15x^{2}+3+6x^{3}+5
Combine 20x and -4x to get 16x.
-6x^{5}+16x-15x^{2}+8+6x^{3}
Add 3 and 5 to get 8.
-3x^{5}+20x-15x^{2}+6x^{5}+3-\left(9x^{5}+7x-6x^{3}-3x-5\right)
Combine 6x and 14x to get 20x.
3x^{5}+20x-15x^{2}+3-\left(9x^{5}+7x-6x^{3}-3x-5\right)
Combine -3x^{5} and 6x^{5} to get 3x^{5}.
3x^{5}+20x-15x^{2}+3-\left(9x^{5}+4x-6x^{3}-5\right)
Combine 7x and -3x to get 4x.
3x^{5}+20x-15x^{2}+3-9x^{5}-4x+6x^{3}+5
To find the opposite of 9x^{5}+4x-6x^{3}-5, find the opposite of each term.
-6x^{5}+20x-15x^{2}+3-4x+6x^{3}+5
Combine 3x^{5} and -9x^{5} to get -6x^{5}.
-6x^{5}+16x-15x^{2}+3+6x^{3}+5
Combine 20x and -4x to get 16x.
-6x^{5}+16x-15x^{2}+8+6x^{3}
Add 3 and 5 to get 8.
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}