Simplify: $64 a^{2} + 8 a b + 25 b^{2}$

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Solution

$64 a^{2} + 8 a b + 25 b^{2} = (8 a)^{2} + 2 (8 a) (5 b) + (5 b)^{2} = (8 a + 5 b)^{2}$

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