Given the two retinal expressions xx2 zx25x6 the rational ex

Given the two retinal expressions x/x-2, z/x^2-5x+6 the rational expression x/x-2 writer as an equation fraction over the LCD of the rational is?

Solution

Fraction 1 : x/(x-2)

Fraction2 : 2/(x^2 -5x +6)

x^2 -5x +6 = x^2 -3x-2x +6

= x(x-3) -2(x-3)

=(x-2)(x-3)

So, we have x/(x-2) and 2/( x-3)(x-2)

both having LCD of (x-2)