Four of the following five parts numbered (1), (2), (3), (4) and (5) in the following equation are exactly equal. Which of the parts is not equal to the other four ? The number of that part is the answer.


A) \( \Large xy^{2} - x^{2} y + 2x^{2}y^{2} = xy^{2} (1 - 2x) + x^{2}y \)

B) \( \Large (2x - 1) = xy^{2} \)

C) \( \Large [y (1 + x) - (1 - y)] = xy [(x + y)^{2} + y ] \)

D) \( \Large (1 + x) - x^{2} y (1 - y) = xy \)

Correct Answer:
B) \( \Large (2x - 1) = xy^{2} \)

Description for Correct answer:
Option (1)

=>\( \Large xy^{2} - x^{2}y + 2x^{2}y^{2} \)

Option(2)

=> \( \Large xy^{2} (1 - 2x) + x^{2}y (2y - 1) \)

= \( \Large xy^{2} - 2x^{2}y^{2} + 2x^{2}y^{2} - x^{2}y \)

= \( \Large xy^{2} - x^{2}y \)

Option(3)

\( \Large xy^{2} (1 + x) - x^{2}y (1 - y) \)

= \( \Large xy^{2} + x^{2}y^{2} - x^{2}y + x^{2}y^{2} \)

= \( \Large xy^{2} - x^{2}y + 2x^{2}y^{2} \)

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