Answer:
b² + c² = 47
Step-by-step explanation:
Expand (b + c)² = 61
⇒ (b + c)(b + c) = 61
⇒ b² + 2bc + c² = 61
Substitute bc = 7 into b² + 2bc + c² = 61:
b² + 2(7) + c² = 61
b² + 14 + c² = 61
To determine b² + c² simply subtract 14 from both sides of the equation:
b² + c² = 47
