Math Problem Statement
(3n+1)(4n+4)
Solution
To simplify , we can use the distributive property, also known as the FOIL method (First, Outer, Inner, Last) for binomials. Here’s the step-by-step process:
Now simplify each term:
Now, combine like terms:
So, the simplified expression is:
Would you like more details on the steps, or do you have any questions?
Here are 5 related questions you might find helpful:
- How do you expand the product of two binomials?
- What is the distributive property in algebra?
- How do you combine like terms in an algebraic expression?
- What are the common mistakes when expanding binomials?
- Can the result be factored further?
Tip: When expanding binomials, always remember to multiply each term in the first binomial by each term in the second one.
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Math Problem Analysis
Mathematical Concepts
Algebra
Binomials
Distributive Property
Formulas
(a + b)(c + d) = ac + ad + bc + bd
Theorems
Distributive Property
Combining Like Terms
Suitable Grade Level
Grades 8-10