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4a^2 + 12ab + 9b^2 - 25c^2

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1 Answer

a2 ± 2ab + b2 = (a ± b)2
a2 - b2 = (a - b)(a + b)
~~~~~~~~
4a2 + 12ab + 9b2 - 25c2 = [(2a)2 + 2 · 2 · 3ab + (3b)2] - (5c)2 =
= (2a + 3b)2 - (5c)2 = (2a + 3b - 5c)(2a + 3b + 5c)

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