%5E2-expand-and-simplify.jpeg "(2x+5)^2 Expand And Simplify")
Expanding and Simplifying (2x + 5)²
This article will guide you through the process of expanding and simplifying the expression (2x + 5)².
Understanding the Concept
The expression (2x + 5)² represents the square of the binomial (2x + 5). This means we need to multiply the binomial by itself:
(2x + 5)² = (2x + 5)(2x + 5)
Applying the Distributive Property
We can use the distributive property (also known as FOIL - First, Outer, Inner, Last) to expand the expression:
- First: (2x) * (2x) = 4x²
- Outer: (2x) * (5) = 10x
- Inner: (5) * (2x) = 10x
- Last: (5) * (5) = 25
Combining Like Terms
Now, let's combine the like terms:
4x² + 10x + 10x + 25 = 4x² + 20x + 25
Final Result
Therefore, the expanded and simplified form of (2x + 5)² is 4x² + 20x + 25.
Key Points to Remember:
- Squaring a binomial means multiplying it by itself.
- Use the distributive property (or FOIL) to expand the expression.
- Combine like terms to simplify the result.
By following these steps, you can confidently expand and simplify expressions involving squares of binomials.