Factor the polynomial by grouping and extracting common factors. The factored form is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to factor a multivariable polynomial with negative coefficients by grouping and extracting common factors, which is a key skill in Algebra-1.
Key Concept Explanation
Factoring multivariable polynomials with negative coefficients involves identifying and extracting the greatest common factor (GCF), including negative GCFs, and then grouping terms to simplify the polynomial.
Step-by-step Solution
Step 1: Group the terms into two pairs
Group the first two terms and the last two terms:
Step 2: Factor out the GCF from each group
From the first group , the GCF is 5xy:
From the second group
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