Question

Urgent! Rezolvati urm ex:

(4x^(2 )+4x+1)/(x^(2 )-9) * (2x^(2 )-6x) / (6x+3)

O sa atasez mai jos exercitiul scris sub forma de fractie in cazul in care nu se intelege de mai sus. Mersi!

9bf0b71cbd24d67aae2920ff4f7c20e5.docx

Answer 1

$\frac{ 4x^{2}+4x+1 }{ x^{2} -9} * \frac{2 x^{2} -6x}{6x+3} = \frac{(2x)^{2}+2*2x*1+ 1^{2} }{ x^{2} - 3^{2} } * \frac{2x(x-3)}{3(2x+1)}= \frac{(2x+1)^{2} }{(x-3)(x+3)}* \frac{2x(x-3)}{3(2x+1)}$
Simplifica (2x+1)² si 2x+1 prin 2x+1, x-3 si x-3 prin x-3
$= \frac{2x+1}{x+3} * \frac{2x}{3}= \frac{2x(2x+1)}{3(x+3)}$