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Mathematics

(a + b)2 - 4ab is equal to:

  1. (a + b + 2ab) (a + b - 2ab)

  2. (a + b) (a - b)

  3. (a + b) (a + b)

  4. (a - b) (a - b)

Factorisation

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Answer

(a + b)2 - 4ab

Using the formula

[∵ (x + y)2 = x2 + y2 + 2xy]

= a2 + b2 + 2ab - 4ab

= a2 + b2 + (2ab - 4ab)

= a2 + b2 - 2ab

Using the formula

[∵ (x + y)2 = x2 + y2 + 2xy]

= (a)2 + (b)2 - 2 x a x b

= (a - b)2

= (a - b)(a - b)

Hence, option 4 is the correct option.

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