Question

qual o valor da expressao 2009^2 - 4/2009^2 + 2009 - 2 ?

Answer 1

Resposta:

$\frac{1.62981\dots E13}{4036081}$

Explicação passo-a-passo:

$2009^2-\frac{4}{2009^2}+2009-2$            

$=-\frac{4}{2009^2}+2009^2+2007\\\\=-\frac{4}{4036081}+4036081+2007\\\\=-\frac{4}{4036081}+4038088\\\\=-\frac{4}{4036081}+4038088\\\\=\frac{4038088\cdot \:4036081}{4036081}-\frac{4}{4036081}\\\\=\frac{4038088\cdot \:4036081-4}{4036081}\\\\=\frac{1.62981\dots E13}{4036081}$