Answer:
64 and 34
Step-by-step explanation:
Given
a + b = 8 ( square both sides )
(a + b)² = 8² = 64
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(a + b)² = 64 ← expand left side
a² + b² + 2ab = 64 ← substitute ab = 15
a² + b² + 2(15) = 64
a² + b² + 30 = 64 ( subtract 30 from both sides )
a² + b² = 34
