Question

a+b=15 and ab=56,find (a2+b2)​

Answer 1

$\huge{ \overbrace{ \underbrace{\color{white}{ \fcolorbox{cyan}{black}{Answer:-}}}}}$

$\large{ \bf{ \orange{ \underline{Given}}}}: - \\ \bf{a + b = 15} \\ \bf{ab = 56} \\ \\ \large{ \bf{ \blue{ \underline{To \: find }}}}:- \\ \bf{{a}^{2} + {b}^{2} = ?} \\ \\ \large{ \bf{ \red{ \underline{Solution}}}}: - \\ \bf \: \: \: \: \: {a}^{2} + {b}^{2} \\ = \bf {(a + b)}^{2} - 2ab \\ \bf = {(15)}^{2} - 2 \times 56 \\ \bf = 225 - 112 \\ \bf = 113$