If a^2+ frac1a^2 = 51, then the value of a3 – fraca1^3 is
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a3−b3=(a−b)(a2+b2+ab)
So,
x3−x31=(x−x1)(x2+x21+x×x1)
=(x−x1)(x2+x21+1)
=(x−x1)(51+1)
=52(x−x1)
Now,
(x−x1)2=x2+x21−2x×x1
(x−x1)2=51−2=49
x−x1=49
=7
Therefore,
x3−x31=52(x−x1)
=52×7
=364
Step-by-step explanation:
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