(-2x+5)^2

less than a minute read Jun 16, 2024

Expanding the Square: (-2x + 5)²

This article explores the expansion of the expression (-2x + 5)². We will use the FOIL method (First, Outer, Inner, Last) to arrive at the expanded form.

Understanding the Square

The expression (-2x + 5)² is a squared binomial, which means it's the product of the binomial multiplied by itself:

(-2x + 5)² = (-2x + 5) * (-2x + 5)

Applying the FOIL Method

Now, we'll apply the FOIL method to expand the expression:

First: (-2x) * (-2x) = 4x²
Outer: (-2x) * 5 = -10x
Inner: 5 * (-2x) = -10x
Last: 5 * 5 = 25

Combining Terms

Finally, we combine the like terms to get the expanded form:

4x² - 10x - 10x + 25 = 4x² - 20x + 25

Conclusion

Therefore, the expanded form of (-2x + 5)² is 4x² - 20x + 25. This process can be applied to any squared binomial, allowing you to expand it into a more manageable polynomial form.