Question

Simplificati raportul algebric:
$\frac{9 x^{2} -4}{18 x^{2} + 24x + 8}$


Scrieti sub forma de raport algebric ireductibil:
$\frac{3a+2}{a- \sqrt{3} } : \frac{4+6a}{5 a^{2} - 15}$

Answer 1

$\frac{9 x^{2}-4 }{ 18x^{2} +24x+8} = \frac{(3x-2)(3x+2)}{2(3x+2)^2} = \frac{3x-2}{2(3x+2)}$




$\frac{3a+2}{a- \sqrt{3} } * \frac{5 a^{2} -15}{4+6a}$=
$\frac{3a+2}{a- \sqrt{3} } * \frac{5( a^{2} -3)}{2(2+3a)}$=
$\frac{5(a- \sqrt{3)} *(a+ \sqrt{3)} }{2(a- \sqrt{3)} }$ =

$\frac{5(a+ \sqrt{3)} }{2}$