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 by grouping involves dividing the polynomial into groups, extracting the greatest common factor (GCF) from each group, and then factoring out the common binomial factor.
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 5ab:
From the second group , the GCF is 10:
This gives:
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