If ab = 8 and a^+b^2=16, then what is the value of (a+b)^2?

32

Step-by-step explanation:

(a+b)^2

This is the product of squares and equals

(a+b) (a+b) = a^2 +2ab + b^2

Rearranging the terms

                     a^2 + b^2 + 2*ab

We know a^2+b^2 = 16 and ab =9

                          16 +2(8)

                           16+16

                              32

32

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

= (a² + b²) + 2(ab)

= 16 + 2(8)

= 32