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Question

Prove that:
xm+n×xn+1×xl+m(xm×xn×xl)2=1

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Solution

xm+n×xn+l×xl+m=xm+n+n+l+l+m=x2(l+m+n)
(xm×xn×xl)2=(xm+n+l)2=x2(m+n+l)
LHS=xm+n×xn+l×xl+m(xm×xn×xl)2=x2(m+n+l)x2(m+n+l)=1=RHS

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