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25 c help me to solve |
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Answer» Answer: L.H.S= (a+b+c)(a-b+c) =(ck²+ck+c)(ck²-ck+c) = c(k²+k+1)c(k²-k+1) =c²{(k²+1)²-k²}[As the a²-b²=(a+b)(a-b)] =c²{k⁴+2k²+1-k²} =c²(k⁴+k²+1) R.H.S=a²+b²+c² =c²k⁴+c²k²+c² =c²(k⁴+k²+1) L.H.S=R.H.S(Proved) |
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