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

Math
(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.
(3a-b+2a+5b)(3a-b-(2a+5b))
Simplify.
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Add 3a and 2a.
(5a-b+5b)(3a-b-(2a+5b))
Add -b and 5b.
(5a+4b)(3a-b-(2a+5b))
Apply the distributive property.
(5a+4b)(3a-b-(2a)-(5b))
Multiply 2 by -1.
(5a+4b)(3a-b-2a-(5b))
Multiply 5 by -1.
(5a+4b)(3a-b-2a-5b)
Subtract 2a from 3a.
(5a+4b)(a-b-5b)
Subtract 5b from -b.
(5a+4b)(a-6b)
(5a+4b)(a-6b)
Factor (3a-b)^2-(2a+5b)^2

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