Factor
\frac{\left(5xy-2z\right)\left(5xy+2z\right)}{25}
Evaluate
\left(xy\right)^{2}-\frac{4z^{2}}{25}
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\frac{25x^{2}y^{2}-4z^{2}}{25}
Factor out \frac{1}{25}.
\left(5xy-2z\right)\left(5xy+2z\right)
Consider 25x^{2}y^{2}-4z^{2}. Rewrite 25x^{2}y^{2}-4z^{2} as \left(5xy\right)^{2}-\left(2z\right)^{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(5xy-2z\right)\left(5xy+2z\right)}{25}
Rewrite the complete factored expression.
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