Factor the polynomial by grouping. The factored form is __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to factor a multivariable polynomial using the grouping method, which is a key skill in Algebra-1.
Key Concept Explanation
Factoring multivariable polynomials involves identifying and extracting the greatest common factor (GCF) 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 4s.
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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