Question

Desenvolva: (Produto Notavel)
$(x+ \frac{1}{x})^{2}$

Answer 1

$(x + \dfrac{1}{x})^2 \\ \\ \\ (x + \dfrac{1}{x})* (x + \dfrac{1}{x}) \\ \\ \\ x^2 +x \dfrac{1}{x} + x \dfrac{1}{x} + (\dfrac{1}{x})^2 \\ \\ \\ x^2 +1 + 1 + \dfrac{1}{x^2} \\ \\ \\ x^2 + 2 + \dfrac{1}{x^2}$

MMC  = x²

$=> \dfrac{x^4 +2x^2 + 1}{x^2}$