Question

If ab=12 and a^2 + b^2 =25, then (a+b)^2=?

Answer 1

Answer:

${a}^{2} + {b}^{2} = 25 \\ ab \: = \: 12 \\ . \\ . \\ {(a + b)}^{2} \\ = {a}^{2} + {b}^{2} + 2ab \\ = 25 + 12 \\ = 37$