Question

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

25 POINTS

Answer 1

32

Explanation:

Note that

(a + b)² = a² + 2ab + b²

= a² + b² + 2ab ← substitute given values for a² + b² and ab

= 16 + (2 × 8)

= 16 + 16

= 32

Answer 2

32

Explanation:

(a+b)²=a²+2ab+b²=(a²+b²)+2ab=16+2*8=32