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Factor.
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Q. Factor.
- Identify Common Factors: Look for common factors in pairs of terms. We can group the terms into two pairs: and .
- Factor First Pair: Factor out the common factor from the first pair of terms.The common factor in and is .
- Factor Second Pair: Factor out the common factor from the second pair of terms.The common factor in and is .
- Check for Common Binomial Factor: Check if the factored expressions have a common binomial factor.The factored expressions from step and step do not have a common binomial factor. The binomials are and , which are not the same.
- Explore Other Factoring Techniques: Since there is no common binomial factor, we need to look for other factoring techniques.We can try factoring by grouping. Rearrange the terms to see if we can group them differently.
- Rearrange Terms for Grouping: Factor out the common factor from the new pairs of terms.The common factor in and is .The second pair of terms is already a difference of squares. is not factorable as a difference of squares.
- Factor New Pairs of Terms: Check for errors in the previous steps.Upon reviewing the previous steps, we realize that we made an error in step . The term is not a difference of squares, and we cannot factor it as such. We need to correct this and find another way to factor the expression.
