Math Problem Statement
(N-7)(n+6)
Solution
The expression you've provided is . This is a product of two binomials and can be expanded using the distributive property, often referred to as the FOIL method (First, Outer, Inner, Last).
Solution:
Let's expand the expression:
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First: Multiply the first terms in each binomial:
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Outer: Multiply the outer terms:
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Inner: Multiply the inner terms:
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Last: Multiply the last terms:
Now, combine all these results:
Finally, combine like terms:
So, the expanded form of is .
Would you like more details or have any questions?
Related Questions:
- How do you factor the expression back into its binomial form?
- What is the significance of the FOIL method in expanding binomials?
- Can you apply the distributive property to a trinomial multiplied by a binomial?
- How do you solve the equation ?
- What are some common mistakes to avoid when expanding binomials?
Tip: When expanding binomials, carefully combine like terms to ensure accuracy. This step is crucial, especially when dealing with more complex expressions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Binomial Expansion
Formulas
FOIL Method
Theorems
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Suitable Grade Level
Grades 7-9