Math Problem Statement
Square the binomial: (3x + 7)^2
Solution
To solve the problem and square the binomial , let's expand it step-by-step.
Formula for squaring a binomial:
Here, and .
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Calculate :
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Calculate :
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Calculate :
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Combine all terms:
Final Answer:
The correct choice is:
Do you want more details or have any questions?
Related Questions:
- How would the expansion change if the binomial was ?
- What is the result of squaring ?
- How is the binomial formula used in solving quadratic equations?
- Can you derive the general pattern for with different coefficients?
- What happens if we cube a binomial instead of squaring it?
Tip:
Always verify your solution by checking each term separately after expanding.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Expansion
Binomial Theorem
Formulas
(a + b)^2 = a^2 + 2ab + b^2
Theorems
Binomial Theorem
Suitable Grade Level
Grades 8-10