# Expand each of the expressions:$\big(x+\large\frac{1}{x}\big)^6$

$\big(x+\large\frac{1}{x}\big)^6$
$6C_0x^6(\large\frac{1}{x})^0$$+6C_1x^5(\large\frac{1}{x})$$+6C_2x^4(\large\frac{1}{x})^2$$+6C_3x^3(\large\frac{1}{x})^3$$+6C_4x^2(\large\frac{1}{x})^4$$+6C_5x^1(\large\frac{1}{x})^5$$+6C_6x^0(\large\frac{1}{x})^6$
$\Rightarrow x^6+\large\frac{6}{1}$$.x^4+\large\frac{6.5}{1.2}$$x^2+\large\frac{6.5.4}{1.2.3}+\frac{6.5}{1.2}.\frac{1}{x^2}+\frac{6}{1}.\frac{1}{x^4}+\frac{1}{x^6}$
$\Rightarrow x^6+6x^4+15x^2+20+15.\large\frac{1}{x^2}+\frac{6}{x^4}+\frac{1}{x^6}$