Factor
3\left(-b-3\right)\left(b-3\right)
Evaluate
27-3b^{2}
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3\left(9-b^{2}\right)
Factor out 3.
\left(3-b\right)\left(3+b\right)
Consider 9-b^{2}. Rewrite 9-b^{2} as 3^{2}-b^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
\left(-b+3\right)\left(b+3\right)
Reorder the terms.
3\left(-b+3\right)\left(b+3\right)
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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Limits
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