Math Problem Statement
Rewrite without parentheses and simplify. (y + 3)^2
Solution
To simplify , we can use the formula for expanding a square of a binomial:
Here, and . Applying the formula:
Simplifying each term:
So, the expression simplifies to:
Would you like me to explain how to expand other types of expressions?
Here are five related questions to explore further:
- How do you expand ?
- What is the difference between and ?
- How can you factor the expression back into its original form?
- What is the general formula for ?
- Can the method of squaring binomials be extended to trinomials?
Tip: Always double-check your expanded form by multiplying the factors back together to ensure accuracy.
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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 Expansion
Suitable Grade Level
Grades 8-10