Question

True or False: The least common denominator of each denominator in the following rational expression is -2(x-3)(x-1)
: 8 / x^2-4x+3 = 1 / 3-x + 1 / 2
FALSE?

True or False: The least common denominator of each denominator in the following rational expression is -2(x-1)
:
8 / x^2-4x+3 = 1 / 3-x + 1 / 2
FALSE?

Answer 1

Since x^2-4x+3 = (x-3)(x-1)
and (3-x) is just -(x-3)
The LCD is 2(x-3)(x-1)
So, TRUE
Dunno why they included the "-" in the denominator, but it works with or without it.

Similarly, FALSE for the 2nd

The wording is poor. You can't have an LCD for "each" denominator. It takes more than one to have a "common" denominator.