Factor the polynomial by grouping and extracting common factors. The factored form is _________.
Answer & Analysis
Analysis
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
1. Group the polynomial as .
2. Extract from the first group to get , and extract from the second group to get .
3. Extract the common factor
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