Question

If mn = 16 and m^2 + n^2 = 68 then (m+n)^2 =

A. 68
B. 100
C. 84
D. Can’t be determined

Answer 1

B. 100

Explanation:

(m + n)^2

= m^2 + 2mn + n^2

Rearrange

(m^2 + n^2) + 2mn

Substitute

(68) + 2*16

= 68 + 32

= 100