If we want to factor 2a² + 4ab + 2b² + 3b + 2, the correct result is ( ).
Options
A
2(a + b)²(3b + 2)
B
(a + b)²(3b + 2)
C
2(a² + 2ab + b²) + (3b + 2)
D
(a² + 2ab + b²) + (3b + 2)
Answer & Analysis
Answer
A
Analysis
To factor the polynomial 2a² + 4ab + 2b² + 3b + 2, let's follow the factor by grouping method:
Step 1: Group the terms: (2a² + 4ab + 2b²) + (3b + 2)
Step 2: Factor out the common factor from each group:
In the first group, we can factor out a: 2(a² + 2ab + b²).
In the second group, there is no common factor: (
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