How do i simplify this?
[(3x+1)/(x-2)] + [(2x-1)/(x-2)]
Since you have a common denominator of (x-2)
above
= (3x+1 + 2x-1)/(x-2)
= 5x/(x-2)
To simplify the given expression [(3x+1)/(x-2)] + [(2x-1)/(x-2)], you can start by combining the two fractions since they share a common denominator of (x-2). Here's how you can do it step-by-step:
Step 1: Start with the two fractions: (3x+1)/(x-2) and (2x-1)/(x-2).
Step 2: Since the denominators are the same, you can combine the numerators. Add (3x+1) and (2x-1) together.
(3x + 1) + (2x - 1)
Step 3: Simplify the combined numerator by combining like terms:
3x + 2x + 1 - 1
5x
Step 4: Rewrite the combined numerator (5x) over the common denominator (x-2):
5x/(x-2)
Therefore, the simplified form for [(3x+1)/(x-2)] + [(2x-1)/(x-2)] is 5x/(x-2).