Question #6444635Fill in the Blank
Algebra-1
Question
Use the distributive property to simplify the expression:
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the distributive property to a more complex expression involving a binomial with a negative term. The expression given is , and the student needs to correctly distribute each term in the first binomial to each term in the second binomial.
This question tests the student's ability to apply the distributive property to a more complex expression involving a binomial with a negative term. The expression given is , and the student needs to correctly distribute each term in the first binomial to each term in the second binomial.
Key Concept Explanation
The distributive property can be applied to the multiplication of two binomials, even when one of the terms is negative. Each term in the first binomial is multiplied by each term in the second binomial, and the results are combined. This is also known as the FOIL method (First, Outer, Inner, Last).
The distributive property can be applied to the multiplication of two binomials, even when one of the terms is negative. Each term in the first binomial is multiplied by each term in the second binomial, and the results are combined. This is also known as the FOIL method (First, Outer, Inner, Last).
Step-by-step Solution
1. Apply the distributive property:
2. Simplify each term: ,
1. Apply the distributive property:
2. Simplify each term: ,
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