Question

a-b=12 and a square + b square =172 , find the value of ab​

Answer 1

Given that,

• (a-b) = 12

• (a²+b²)  = 172

• ab = ?

We know that,

⇒ (a - b)² ≡ a² + b² - 2ab

⇒ (12)² ≡ 172 -2ab

⇒ 144 - 172 = -2ab

⇒ -28 = -2ab

⇒ -28/-2 = ab

⇒ 14 = ab

Therefore, the value of ab is "14"

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