%5E2-answer.jpeg "(2x+5)^2 Answer")
Expanding (2x + 5)^2
The expression (2x + 5)^2 represents the square of the binomial (2x + 5). To find the answer, we need to expand this expression.
Here's how we can do it:
Understanding the Concept
Squaring a binomial means multiplying it by itself. So, (2x + 5)^2 is equivalent to (2x + 5) * (2x + 5).
Using the FOIL Method
The FOIL method is a helpful way to multiply binomials:
- First: Multiply the first terms of each binomial (2x * 2x = 4x²)
- Outer: Multiply the outer terms (2x * 5 = 10x)
- Inner: Multiply the inner terms (5 * 2x = 10x)
- Last: Multiply the last terms (5 * 5 = 25)
Combining Like Terms
Now, combine the terms we got:
4x² + 10x + 10x + 25
Simplifying:
4x² + 20x + 25
Therefore, the answer to (2x + 5)^2 is 4x² + 20x + 25.
Key Points:
- Remember that squaring a binomial involves multiplying it by itself.
- The FOIL method is a useful technique for expanding binomials.
- Always combine like terms after applying the FOIL method.