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Simplify aba+b - a+bab...

Simplify aba+b - a+bab

A.

4abab

B.

4aba2b2

C.

4aba2b

D.

4aba2b2

Correct answer is B

aba+b - a+bab = (ab)2(a+b) - (a+b)2(ab0

applying the principle of difference of two sqrt. Numerator = (a - b) + (a + b) (a - b) - (a + b)

= (a = b + a = b)(a = b - a = b)

2a(-2b) = -4ab

= 4ab(a+b)(ab)

= 4aba2b2