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alexandr1967 [171]
3 years ago
9

If ab = 8 and a^2 + b^2 = 16, then what is the value of (a+b)^2? 25 POINTS

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

Answer:

32

Step-by-step explanation:

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

erik [133]3 years ago
6 0

Answer:

32

Step-by-step 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

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