If p=2-a, prove that a^3+6ap-8= 0
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It is given that
p=2-a(1)
LHS =a*3+6ap+p*3-8
=a*3+6a (2-a) +(2-a)*3-8 from (1)
=a*3+12a-6a*2+2*3-3×2a*2+3×2a*2-a*3-8
=a*3+12a -6a*2+8-12a+6a*2-a*3-8
=0
RHS
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