Răspuns:
Explicație pas cu pas:
a) a² - b² = (a - b)(a + b)
(2x - 3)² - (x - 1)² = [(2x - 3) - (x - 1)] · [(2x - 3) + (x - 1)] =
= (2x - 3 - x + 1)(2x - 3 + x - 1) =
= (x - 2)(3x - 4)
b)
[tex]E(x)=\frac{3x-6+2}{x-2} :\frac{(2x-3)^{2}-(x-1)^{2} }{x^{2}-4x+4 } =\frac{3x-4}{x-2} :\frac{(x-2)(3x-4)}{(x-2)^{2} } =\\ \\ =\frac{3x-4}{x-2}:\frac{3x-4}{x-2} =1[/tex]
