Question

If a2 + b2 = 125 and 4ab = 16, what is the value of (a + b )2? Show your complete solutions.

Answer 1

$Given \:a^{2} + b^{2} = 125 \: --(1)$

$and \: 4ab = 16 \implies 2ab = 8\: ---(2)$

$\red{ Value \: of \: (a+b)^{2} } \\= a^{2} + b^{2} + 2ab \\= 125 + 8 \\= 133$

Therefore.,

$\red{ Value \: of \: (a+b)^{2} }\green { = 133}$

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