Expand. $(5 a + 6 b)^{2}$

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Solution

Given

$(5 a + 6 b)^{2}$

It is form $(a + b)^{2} = a^{2} + 2 a b + b^{2}$

$(5 a + 6 b)^{2} = (5 a)^{2} + 2 (5 a) (6 b) + (6 b)^{2}$

$= 25 a^{2} + 60 a b + 36 b^{2}$

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