complete question:
What is the common denominator of 5/x²-4,-2/x+2
Answer:
The common denominator are (x + 2) and (x - 2).
Explanation:
The expression is 5 /x2-4 and -2/x+2 . The numerator is the value above the back slashed signs . The numerator in the first expression 5 /x2-4 is 5 while the numerator for the second -2/x + 2 is -2.
The denominator is the value below which is x² - 4 and x + 2. To get the common denominator for the first one, you need to expand the value.
x² - 4
-2 and + 2 when added together will give you 0 and also if you multiply the two value -2 and +2 together you will get -4
so x² - 4 can be expanded as
(x + 2)(x - 2).
Therefore the common denominator are (x + 2) and (x - 2).