If we want to factor 2ax + 2ay + bx + by, the correct result is ( ).
Options
A
(x + y)(2a + b)
B
(b + y)(2a + x)
C
2a(x + y) + b(x + y)
D
a(2x +2y) + b(x + y)
Answer & Analysis
Answer
A
Analysis
To factor the polynomial 2ax + 2ay + bx + by, let's follow the factor by 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: 2a(x + y) +
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