Factor
xy\left(y-9z\right)\left(y+9z\right)
Evaluate
xy\left(y^{2}-81z^{2}\right)
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xy\left(y^{2}-81z^{2}\right)
Factor out xy.
\left(y-9z\right)\left(y+9z\right)
Consider y^{2}-81z^{2}. Rewrite y^{2}-81z^{2} as y^{2}-\left(9z\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
xy\left(y-9z\right)\left(y+9z\right)
Rewrite the complete factored expression.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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