Factor
9ab\left(2a^{2}-1\right)\left(2a^{2}+1\right)
Evaluate
9ab\left(4a^{4}-1\right)
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9\left(4a^{5}b-ab\right)
Factor out 9.
ab\left(4a^{4}-1\right)
Consider 4a^{5}b-ab. Factor out ab.
\left(2a^{2}-1\right)\left(2a^{2}+1\right)
Consider 4a^{4}-1. Rewrite 4a^{4}-1 as \left(2a^{2}\right)^{2}-1^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
9ab\left(2a^{2}-1\right)\left(2a^{2}+1\right)
Rewrite the complete factored expression. The following polynomials are not factored since they do not have any rational roots: 2a^{2}-1,2a^{2}+1.
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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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]
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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