If A² - 2ab + B² = 36 And A² - 3ab + B² = 22 The Ab = ____? - Testpoint

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If a² - 2ab + b² = 36 and a² - 3ab + b² = 22 the ab = ____?

8
6
14
None of these

Explanation

The given equations can be rewritten using identity formulas:

a² - 2ab + b² = (a - b)² = 36 → (a - b) = ±6
a² - 3ab + b² = 22 → (a - b)² - ab = 22

Substituting (a - b)² = 36 in 36 - ab = 22, solving for ab gives: $a b = 36 - 22 = 14$

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