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


Răspuns :

Avem expresia algebrica: [tex]\dfrac{2x^2+5x-3}{x^2-9}[/tex]

Descompunem in factori numitorul: [tex]x^2-9=x^2-3^2=(x-3)(x+3)[/tex]

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:

[tex]\dfrac{(x+3)(2x-1)}{(x-3)(x+3)} =\dfrac{2x-1}{x-3}.[/tex]

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