Math Problem Statement
(x+2y).(3x-y)=
Solution
To simplify the expression , we apply the distributive property (also known as FOIL for binomials):
Now expand each term:
Combine the results:
Simplify the like terms ():
Thus, the simplified expression is:
Would you like a detailed breakdown of each step?
Related Questions:
- How is the distributive property used in binomial multiplication?
- What are like terms, and how do you combine them?
- How would this change if the second binomial were ?
- Can this expression be factored further?
- How does this relate to the geometry of a parabola?
Tip:
Always simplify like terms step by step to avoid errors, especially when working with multiple variables.
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Math Problem Analysis
Mathematical Concepts
Algebra
Binomial Multiplication
Polynomial Simplification
Formulas
Distributive property: a(b + c) = ab + ac
Theorems
Distributive Property
Suitable Grade Level
Grades 8-10