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The expression $P(x)$ = $\big(\sqrt {x^5-1}+x\big)^7$ - $\big(\sqrt {x^5-1}-x\big)^7$ is a polynomial of what degree?

$\begin{array}{1 1} 16 \\ 18 \\ 20 \\ 27 \end{array} $

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  • $(a+b)^n-(a-b)^n=2[^nC_1a^{n-1}.b+^nC_3a^{n-3}.b^3+..........]$
$\big(\sqrt {x^5-1}+x\big)^7-\big(\sqrt {x^5-1}-x\big)^7=$
$2\big[^7C_1.(x^5-1)^3.x+^7C_3.(x^5-1)^2.x^3+^7C_5.(x^5-1).x^5+^7C_7x^7\big]$
which is a poly nomial of degree $16$.
answered Oct 15, 2013 by rvidyagovindarajan_1
 

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