Math Problem Statement
Expand (2x + 1)^2.
Solution
The problem is to expand .
Solution:
We use the binomial expansion formula:
Here, and .
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Compute :
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Compute :
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Compute :
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Add them together:
Final Answer:
Would you like further explanation or to see similar examples?
Here are 5 related questions for practice:
- Expand .
- Expand .
- Expand and simplify.
- Verify the expansion of using direct multiplication.
- Expand .
Tip: Always check your expansion by re-multiplying the terms for accuracy.
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Math Problem Analysis
Mathematical Concepts
Algebra
Binomial Expansion
Polynomials
Formulas
(a + b)^2 = a^2 + 2ab + b^2
Theorems
Binomial Theorem
Suitable Grade Level
Grades 8-10