Question

Simplificati raportul R(x) = $\frac{x²+7x+6}{x²+2x+1}$

Answer 1

$\frac{ x^{2} +7x+6}{ x^{2} +2x+1}= \frac{ x^{2} +x+6x+6}{(x+1)^{2}} = \frac{x(x+1)+6(x+1)}{(x+1) ^{2} }= \frac{(x+1)(x+6)}{(x+1)^{2} }= \boxed{\frac{x+6}{x+1}}.$