What is the common denominator of 5/x2-4,-2/x+2

complete question:

What is the common denominator of 5/x²-4,-2/x+2

The common denominator are (x + 2) and (x - 2).

Step-by-step 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).

step-by-step :

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)