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Question

2x1+x2+x4+11+x+x2−11−x+x2=

A
2x
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B
x
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C
1
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D
0
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Solution

The correct option is D 0
2x1+x2+x4+(11+x+x211x+x2)
=2x1+x2+x4+((1x+x2)(1+x+x2)(1+x+x2)(1x+x2))
=2x1+x2+x42x(1+x2)2x2
=2x1+x2+x42x1+x4+2x2x2
=2x1+x2+x42x1+x2+x4=0

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