Algebra-1

Question Analysis
This question tests the student's ability to factor a multivariable polynomial with negative coefficients by grouping and extracting common factors.

Key Concept Explanation
When factoring polynomials with multiple variables and negative coefficients, it is important to group terms and extract the greatest common factor, including negative common factors, to simplify the polynomial.

Step-by-step Solution
Step 1: Group the terms into two pairs
Group the first two terms (with pq terms) and the last two terms (with p terms and constants):
Step 2: Factor out the GCF from each group
For the first group : The greatest common factor (GCF) of and is 5pq.
Factoring out 5pq gives:
For the second group

Click "Show Answer" to reveal the answer and analysis