If we want to factor 2ax - 2ay - bx + by, the correct result is ( ).
Options
A
(x - y)(2a + b)
B
(x + y)(2a - b)
C
(x - y)(2a - b)
D
(x + y)(2a + b)
Answer & Analysis
Answer
C
Analysis
To factor the polynomial 2ax - 2ay - bx + by, we can use the grouping method:
Step 1: Group the terms: (2ax - 2ay) - (bx - by)
Step 2: Factor out the common factor from each group:
In the first group, we can factor out 2a: 2a(x - y).
In the second group, we can factor out b: b(x - y).
Now, we have:
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