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2\left(25ax^{2}-16ay^{2}\right)
Factor out 2.
a\left(25x^{2}-16y^{2}\right)
Consider 25ax^{2}-16ay^{2}. Factor out a.
\left(5x-4y\right)\left(5x+4y\right)
Consider 25x^{2}-16y^{2}. Rewrite 25x^{2}-16y^{2} as \left(5x\right)^{2}-\left(4y\right)^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
2a\left(5x-4y\right)\left(5x+4y\right)
Rewrite the complete factored expression.