Question

if (a+b)^2 = 37 and ab=5 what is a^2 + b^2

Answer 1

(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

Answer 2

$(a+b)^2 = 37a^2 + 2ab + b^2 = 37\\a^2 + 2(5) + b^2 = 37\\a^2 + b^2 + 10 = 37\\a^2 + b^2 = 27$

Answer: 27