Question

determine o densevolvimento de x de:(x+1÷x)elevado a 6​

Answer 1

pelo teorema binomial de Newton

(x+1/x)^6= (6 0)x^6(1/x)^0 +

(6 1)x^5(1/x)¹+(6 2)x⁴(1/x)²+

(6 3)x³(1/x)³ +(6 4)x²+(1/x)⁴+

(6 5)x¹(1/x)^5 + (6 6)x^0(1/x)^6

=[x^6+6x⁴+15x²+20+15/x²+6/x⁴+1/x^6]