Math Problem Statement
Expand and simplify x(4x - 2) + x(5x + 6)
Solution
The given expression is:
Step 1: Expand each term
Distribute in both expressions:
Step 2: Combine the expanded terms
Now add the two results:
Step 3: Simplify by combining like terms
Combine -terms and -terms:
Final Answer:
Would you like a detailed explanation of any step? Here are some related questions to expand your understanding:
- How do you distribute variables in algebraic expressions?
- What are like terms, and why do we combine them?
- How do you handle expressions with more than two terms?
- What are some real-world examples where expanding and simplifying expressions is useful?
- How does factoring relate to this process?
Tip: Always double-check your work by re-expanding the simplified result to verify its correctness!
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Simplification
Formulas
Distributive Property: a(b + c) = ab + ac
Theorems
Commutative Property of Addition
Distributive Property
Suitable Grade Level
Grades 8-10