Evaluate
-10b^{2}+12b-16
Factor
2\left(-5b^{2}+6b-8\right)
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-10b^{2}+8b-9+4b-7
Combine b^{2} and -11b^{2} to get -10b^{2}.
-10b^{2}+12b-9-7
Combine 8b and 4b to get 12b.
-10b^{2}+12b-16
Subtract 7 from -9 to get -16.
-10b^{2}+12b-16
Multiply and combine like terms.
2\left(-5b^{2}+6b-8\right)
Factor out 2. Polynomial -5b^{2}+6b-8 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
Linear equation
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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