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The term independent of x in the expression of $$\left(2x^2 + \frac{1}{x^2}\right)$$ is
we know that general term of expansion (a+b)^n isΒ
$$Β T_{r+1}$$ = $$nC_{r}$${a}^{n-r}b^nΒ Β Β Β Β x$$\geq0$$
Β hereΒ in expressionΒ $$\left(2x^2 + \frac{1}{x^2}\right)$$Β we have givenΒ Β n=1Β Β a=2x^2Β Β Β b=1\x^2
$$ T_{r+1}$$ =Β $$1C_{r}$${2x^2}^{1-r}{1\x^2}^1
Β Β Β Β Β Β Β Β Β Β =Β Β $$1C_{r}$${2}^{1-r}{x^2}^{1-r}{1\x^2}^1
Β Β Β Β Β Β Β Β Β Β = Β Β $$1C_{r}$${2}^{1-r}{x}^{2-2r}{x}^-2r
Β Β Β Β Β Β Β Β Β = Β Β $$1C_{r}$${2}^{1-r}{x}^-4r
soΒ fromΒ thatΒ Β n-rΒ =0Β andΒ r=4Β Β Β soΒ Β Β n=$$5^{th}$$ termΒ Β Β Β answerΒ Β Β Β Β
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