How do you find the LCD for #x-4 , x+2#?

Question

14347 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-20T07:13:52

The LCD of #(x-4)# and #(x+2)# as rational expressions is #1#.

LCD is Least Common Divisor.

#(x-4)# and #(x+2)# can be thought of as rational expressions with divisor #1#.

#(x-4) = (x-4)/1# and #(x+2) = (x+2)/1#

Then the only common divisor (scalar or polynomial) they have is #1#.

If you meant to ask what is the LCD of two rational expressions with denominators #(x-4)# and #(x+2)# then the answer is:

#(x-4)(x+2) = x^2-2x-8#

The LCD in this case is the LCM (Least Common Multiple) of the two divisors.