Algebra-1

Question Analysis
This question tests the ability to factor a multivariable polynomial with negative coefficients, focusing on the extraction of common factors and grouping.

Key Concept Explanation
Factoring polynomials with negative coefficients involves identifying and extracting the greatest common factor (GCF), including negative GCFs, and then grouping terms to find common factors.

Step-by-step Solution
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 3y (we can also factor out to simplify signs, but 3y works here).
Factoring out 3y first:
Step 2: Group the remaining polynomial inside the parentheses
Group the first two terms and the last two terms of the polynomial inside the parentheses:
Step 3: Factor out the GCF from each group
From the first group , the GCF is :
From the second group , the GCF is (factoring out aligns the binomial with the first group):

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