Math Problem Statement
(A+b) (b+a)
Solution
The expression can be expanded using the distributive property (also known as the FOIL method for binomials):
Steps:
- Multiply the first terms:
- Multiply the outer terms:
- Multiply the inner terms:
- Multiply the last terms:
Combine like terms:
Final result:
Would you like a detailed explanation of any step?
Related Questions:
- What is the difference between expanding and factoring an expression?
- How do we apply the distributive property to larger polynomials?
- What is the geometric interpretation of the expansion of binomials?
- How does the FOIL method extend to trinomials?
- Can you demonstrate this expansion using specific values for and ?
Tip: Always check for like terms when simplifying expanded polynomials!
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Expansion
Distributive Property
Formulas
Distributive Property: (x + y)(a + b) = xa + xb + ya + yb
Combining Like Terms
Theorems
Commutative Property of Addition and Multiplication
Suitable Grade Level
Grades 8-10