Algebra-1

Question Analysis
This question tests the student's ability to factor a multivariable polynomial using the grouping method, which is a critical skill in Algebra-1.

Key Concept Explanation
Factoring by grouping involves dividing the polynomial into two groups, extracting the greatest common factor (GCF) from each group, and then factoring out any common binomial factor.

Step-by-step Solution
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 4q. Factor this out first:
Step 2: Group the remaining polynomial into two pairs
Group the terms inside the parentheses:
Step 3: Factor out the GCF from each group
From the first group , the GCF is :

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