Question

se considera expresia E(x)=(x+2/2) la puterea-1 +(x+2)(1-2x/(x+2)^2 ) ÷(x+2+4/x) unde xapartine R /{-2,0}. Demostrati ca E(x)=1​

Answer 1

Răspuns:

$E(x) = \frac{2}{x +2} +(x+2)\frac{x^{2} +2x +4}{(x+2)^{2} } \frac{x}{x^{2} +2x+4} =\\ \\ \\ =\frac{2}{x+2} +\frac{x}{x+2} =\frac{2+x}{x+2} = \frac{x+2}{x+2} =1$

Explicație pas cu pas: