Factor (3a-b)^2-(2a+5b)^2

Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=3a-b and b=2a+5b.
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Add 3a and 2a.
Add -b and 5b.
Apply the distributive property.
Multiply 2 by -1.
Multiply 5 by -1.
Subtract 2a from 3a.
Subtract 5b from -b.
Factor (3a-b)^2-(2a+5b)^2

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