Evaluate
y^{6}+15y^{5}-8y^{4}-22y^{3}+y^{2}+8y+14
Expand
y^{6}+15y^{5}-8y^{4}-22y^{3}+y^{2}+8y+14
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y^{6}+y^{3}+y^{2}+9-23y^{3}-8y^{4}+15y^{5}+8y+5
To find the opposite of 23y^{3}+8y^{4}-15y^{5}-8y-5, find the opposite of each term.
y^{6}-22y^{3}+y^{2}+9-8y^{4}+15y^{5}+8y+5
Combine y^{3} and -23y^{3} to get -22y^{3}.
y^{6}-22y^{3}+y^{2}+14-8y^{4}+15y^{5}+8y
Add 9 and 5 to get 14.
y^{6}+y^{3}+y^{2}+9-23y^{3}-8y^{4}+15y^{5}+8y+5
To find the opposite of 23y^{3}+8y^{4}-15y^{5}-8y-5, find the opposite of each term.
y^{6}-22y^{3}+y^{2}+9-8y^{4}+15y^{5}+8y+5
Combine y^{3} and -23y^{3} to get -22y^{3}.
y^{6}-22y^{3}+y^{2}+14-8y^{4}+15y^{5}+8y
Add 9 and 5 to get 14.
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
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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}