Factor
\left(2x-9z\right)\left(2x+9z\right)y^{2}
Evaluate
4\left(xy\right)^{2}-81\left(yz\right)^{2}
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y^{2}\left(4x^{2}-81z^{2}\right)
Factor out y^{2}.
\left(2x-9z\right)\left(2x+9z\right)
Consider 4x^{2}-81z^{2}. Rewrite 4x^{2}-81z^{2} as \left(2x\right)^{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).
y^{2}\left(2x-9z\right)\left(2x+9z\right)
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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
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Limits
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