Question

Numitorul comun este ?( X-4 supra x-2 ) + (x-2 supra x-4)

Answer 1

$\frac{x-4}{x-2} + \frac{x-2}{x-4} =$
amplifici prima cu (x-2) si a II-a cu (x-4)
$\frac{ (x-4)^{2} }{(x-2)(x-4)} + \frac{ (x-2)^{2} }{(x-4)(x-2)} =$
$\frac{ x^{2} -8x+16+ x^{2} -4x+4}{(x-2)(x-4)} = \frac{2 x^{2} -12x+20}{(x-2)(x-4)} = \frac{2( x^{2} -6x+10)}{(x-2)(x-4)}$