Factor
\left(z-3\right)\left(z+3\right)\left(z^{2}+9\right)
Evaluate
z^{4}-81
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\left(z^{2}-9\right)\left(z^{2}+9\right)
Rewrite z^{4}-81 as \left(z^{2}\right)^{2}-9^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(z-3\right)\left(z+3\right)
Consider z^{2}-9. Rewrite z^{2}-9 as z^{2}-3^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(z-3\right)\left(z+3\right)\left(z^{2}+9\right)
Rewrite the complete factored expression. Polynomial z^{2}+9 is not factored since it does not have any rational roots.
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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