Evaluate
9t^{3}-18t^{2}-15t-1
Expand
9t^{3}-18t^{2}-15t-1
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-2t^{2}-13t+17+9t^{3}+3t-26-\left(16t^{2}+5t-8\right)
Combine 5t^{2} and -7t^{2} to get -2t^{2}.
-2t^{2}-10t+17+9t^{3}-26-\left(16t^{2}+5t-8\right)
Combine -13t and 3t to get -10t.
-2t^{2}-10t-9+9t^{3}-\left(16t^{2}+5t-8\right)
Subtract 26 from 17 to get -9.
-2t^{2}-10t-9+9t^{3}-16t^{2}-5t+8
To find the opposite of 16t^{2}+5t-8, find the opposite of each term.
-18t^{2}-10t-9+9t^{3}-5t+8
Combine -2t^{2} and -16t^{2} to get -18t^{2}.
-18t^{2}-15t-9+9t^{3}+8
Combine -10t and -5t to get -15t.
-18t^{2}-15t-1+9t^{3}
Add -9 and 8 to get -1.
-2t^{2}-13t+17+9t^{3}+3t-26-\left(16t^{2}+5t-8\right)
Combine 5t^{2} and -7t^{2} to get -2t^{2}.
-2t^{2}-10t+17+9t^{3}-26-\left(16t^{2}+5t-8\right)
Combine -13t and 3t to get -10t.
-2t^{2}-10t-9+9t^{3}-\left(16t^{2}+5t-8\right)
Subtract 26 from 17 to get -9.
-2t^{2}-10t-9+9t^{3}-16t^{2}-5t+8
To find the opposite of 16t^{2}+5t-8, find the opposite of each term.
-18t^{2}-10t-9+9t^{3}-5t+8
Combine -2t^{2} and -16t^{2} to get -18t^{2}.
-18t^{2}-15t-9+9t^{3}+8
Combine -10t and -5t to get -15t.
-18t^{2}-15t-1+9t^{3}
Add -9 and 8 to get -1.
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}