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Question

If a=xm+n.yl;b=xn+l.ym and c=xl+m.yn prove that : amn.bnl.clm=1

Solution
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a=xm+n.yl
amn=(xm+n.yl)mn
amn=xm2n2.ymlnl

b=xn+l.ym
bnl=(xn+lym)nl
bnl=xn2l2.ymnml

c=xl+m.yn
clm=(xl+m.yn)lm
clm=xl2m2.ynlmn

amn.bnl.clm=xm2n2+n2l2+l2m2.ymlnl+mnml+nlmn
=x0.y0
=1

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