Question

if
`(a+b)^(2)`=293 and ab=14, what is the value of
`a^(2)`+
`b^(2)`?

Answer 1

`(a+b)^2=a^2+2\cdot ab+b^2\\\\293=a^2+2\cdot 14+b^2\\\\293=a^2+28+b^2\\\\a^2+b^2=293-28\\\\\boxed{a^2+b^2=265}`