Question

AJUTATIMA VA ROG
SIMPLIFICA ECUATIA : 2X²+5X-3 SUPRA X²-9

Answer 1

Avem expresia algebrica: $\dfrac{2x^2+5x-3}{x^2-9}$

Descompunem in factori numitorul: $x^2-9=x^2-3^2=(x-3)(x+3)$

Descompunem in factori numaratorul:

[tex]2x^2+5x-3=2x^2+6x-x-3= 2x(x+3)-(x+3) =(x+3)(2x-1)[/tex]

Expresia devine:

$\dfrac{(x+3)(2x-1)}{(x-3)(x+3)} =\dfrac{2x-1}{x-3}.$

La final, am simplificat cu (x+3).