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Q.

Factorize: (a - b)2 + 4ab

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a

(a + b)3

b

(a + b)2

c

(a - b)2

d

(a - b)3

answer is D.

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Detailed Solution

detailed_solution_thumbnail

The given expression is,

(a-b)2 + 4ab 

Using the identity, (a - b)2 = a2 - 2ab + b2

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

(a - b)2 + 4ab = a2  + 2ab + b2

(a - b)2 + 4ab = (a + b)2      [Since, (a + b)2 = a2 + 2ab + b2]

Therefore, option D is the correct answer.

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