Question #6454368Fill in the Blank
Algebra-1
Question
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.
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
Grouping involves dividing the polynomial into two groups and factoring out the greatest common factor (GCF) from each group. If the resulting expressions have a common factor, it can be factored out to complete the decomposition.
Grouping involves dividing the polynomial into two groups and factoring out the greatest common factor (GCF) from each group. If the resulting expressions have a common factor, it can be factored out to complete the decomposition.
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 12xy:
From the second group , the GCF is 20: This gives:
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 12xy:
From the second group , the GCF is 20: This gives:
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