Math Problem Statement
Solution
The expression you provided is:
To solve this, we will expand the expression by applying the distributive property, also known as the FOIL method (First, Outer, Inner, Last) for binomials, and fully distribute each term in the first parentheses by each term in the second parentheses.
Let's go through the steps:
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Multiply by each term in the second parentheses:
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Multiply by each term in the second parentheses:
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Multiply by each term in the second parentheses:
Now we combine all these terms:
Next, we’ll group and simplify like terms:
- The terms:
- The terms:
- The terms:
So the simplified expression is:
Would you like more details on any specific step, or do you have further questions?
Related Questions
- How do you apply the distributive property to polynomial expressions?
- What are some strategies for simplifying expressions with multiple terms?
- How do you identify like terms in polynomial expressions?
- What is the FOIL method and when is it useful?
- How does combining like terms help in simplifying algebraic expressions?
Tip
When expanding expressions with multiple variables, it helps to systematically distribute each term to avoid missing any components.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Expansion
Distributive Property
Formulas
Distributive property (a + b)(c + d) = ac + ad + bc + bd
Theorems
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Suitable Grade Level
Grades 9-10
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