(a+b)^2 = 37
a^2 + 2ab + b^2 = 37
Substitute ab = 5 into a^2 + 2ab + b^2 = 37
a^2 + 2(5) + b^2 = 37
a^2 + b^2 + 10 = 37
a^2 + b^2 = 27
Answer
a^2 + b^2 = 27
[tex](a+b)^2 = 37a^2 + 2ab + b^2 = 37\\a^2 + 2(5) + b^2 = 37\\a^2 + b^2 + 10 = 37\\a^2 + b^2 = 27[/tex]
Answer: 27
