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scoateti factor comun pe (x-3) din:(2x+5)(x-3)+(x-3)(x-2)

Răspuns :

(2x+5)(x-3)+(x-3)(x-2)=(x-3)(2x+5+x-2)=(x-3)(3x+3)=3(x-3)(x+3)=3(x^2-9^2)
[tex](2x+5)(x-3)+(x-3)(x-2)=(x-3)(2x+5+x-2)=[/tex]
[tex](x-3)(3x+3)=3(x-3)(x+1)[/tex]