Question

Aduceti la forma cea mai simpla expresia$\frac{2 x^{2} -6x-(x+3)+6}{(x-3) ^{2} }$

Answer 1

$\frac{2x^{2}-6x-(x+3)+6}{(x-3)^{2}}=\frac{2x(x-3)-x-3+6}{(x-3)^{2}}=\frac{2x(x-3)-x+3}{(x-3)^{2}}=\frac{2x(x-3)-(x-3)}{(x-3)^{2}}=\frac{(2x-1)(x-3)}{(x-3)^{2}}=\frac{2x-1}<span>{x-3}</span>$

Answer 2

[tex]\it E(x) = \dfrac{2x^2-6x-(x+3)+6}{(x-3)^2}=\dfrac{2x^2-6x-x-3+6}{(x-3)^2} \\\;\\ \\\;\\ \it E(x) = \dfrac{\it 2x(x-3)-x+3}{(\it x-3)^2} =\dfrac{ \it2x(x-3)-(x-3)}{\it x-3)^2} \\\;\\ \\\;\\ \it E(x)= \dfrac{(\it x-3)(2x-1)}{(\it x-3)(x-3)} = \dfrac{\it 2x-1}{\it x-3}[/tex]