Factor
\frac{\left(3z-1\right)\left(3z+1\right)}{27}
Evaluate
\frac{z^{2}}{3}-\frac{1}{27}
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\frac{9z^{2}-1}{27}
Factor out \frac{1}{27}.
\left(3z-1\right)\left(3z+1\right)
Consider 9z^{2}-1. Rewrite 9z^{2}-1 as \left(3z\right)^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{\left(3z-1\right)\left(3z+1\right)}{27}
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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