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Question

The value of (xy−yx)(x2y2+y2x2+1)

A
3x2y2
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B
3xy
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C
x3y3y3x3
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D
x3y3+y3x3
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Solution

The correct option is D x3y3y3x3
Given

(xyyx)(x2y2+y2x2+1)

(xyyx)(x2y2+y2x2+(xy)(yx))


Let a=xy,b=yx

(ab)(a2+b2+ab)

a3b3

x3y3y3x3

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