Evaluate
9t^{2}-6t+3
Factor
3\left(3t^{2}-2t+1\right)
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9t^{2}-t-4-5t+7
Combine 6t^{2} and 3t^{2} to get 9t^{2}.
9t^{2}-6t-4+7
Combine -t and -5t to get -6t.
9t^{2}-6t+3
Add -4 and 7 to get 3.
9t^{2}-6t+3
Multiply and combine like terms.
3\left(3t^{2}-2t+1\right)
Factor out 3. Polynomial 3t^{2}-2t+1 is not factored since it does not have any rational roots.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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
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