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Question

If 2x2+x1=0, then the value of the expression 2x1x+(4x2+1x2)2+(8x31x3)3 is

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Solution

2x2+x1=0
2x1x=1

4x2+1x2=(2x1x)2+4=1+4=5
8x31x3=(2x1x)3+32x1x(2x1x)=1+6(1)=7

2x1x+(4x2+1x2)2+(8x31x3)3=1+52+(7)3=319

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