Question #6454376Fill in the Blank
Algebra-1
Question
Factor the polynomial . The factored form is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to factor a multivariable polynomial using the grouping method.
This question tests the student's ability to factor a multivariable polynomial using the grouping method.
Key Concept Explanation
The grouping method involves dividing the polynomial into two groups, extracting the greatest common factor (GCF) from each group, and then factoring out the common binomial factor.
The grouping method involves dividing the polynomial into two groups, extracting the greatest common factor (GCF) from each group, and then factoring out the common binomial factor.
Step-by-step Solution
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 9.
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 2xy:
From the second group
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 9.
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 2xy:
From the second group
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