If (a − b)² = 40 and ab = 8, find a² + b².

Rosalina asked Feb 2, 2023

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Rosalina asked Feb 2, 2023

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15 votes

Answer:

a² + b² = 56

Explanation:

(a - b)² = a² - 2ab + b² ← substitute values

40 = a² - 2(8) + b²

40 = a² - 16 + b² ( add 16 to both sides )

56 = a² + b²

Orr answered Feb 8, 2023

by Orr

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