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Q.

By how much is x4 − 4x2y2 + y4 less than x4 + 8x2y2 + y4 ?

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a

12x2y2

b

12xy

c

−12x2y2

d

−12xy

answer is B.

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Detailed Solution

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Required expression

= (x4 + 8x2y2 + y4) − (x4 − 4x2y2 + y4)

= x4 + 8x2y2 + y4 − x4 + 4x2y2 − y4

Collecting the like terms together, we get

= x4 − x4 + 8x2y2 + 4x2y2 + y4 − y4

= 12x2y2

Therefore, we can say that the expression x4 − 4x2y2 + y4 is less than x4 + 8x2y2 + y4 by 12x2y2.

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