Question #6454386Fill 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
Factoring multivariable polynomials involves identifying common factors and grouping terms to simplify the polynomial.
Factoring multivariable polynomials involves identifying common factors and grouping terms to simplify the polynomial.
Step-by-step Solution
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 8mn.
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 :
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 8mn.
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 :
Click "Show Answer" to reveal the answer and analysis
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