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Mathematics

If a + b = 12 and ab = 35, then (a − b)2 =

  1. 2

  2. 4

  3. 16

  4. 20

Expansions

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Answer

Given,

a + b = 12 and ab = 35

Using identity,

⇒ (a + b)2 - (a - b)2 = 4ab

⇒ (a − b)2 = (a + b)2 - 4ab

⇒ (a − b)2 = (12)2 - 4(35)

⇒ (a − b)2 = 144 - 140

⇒ (a − b)2 = 4

Hence, Option 2 is the correct option.

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