Question

Express (x-5)^2 as a trinomial in standard form.

Answer 1

Answer: x^2 -10x + 25

Explanation:

First example the expression.

(x -5)(x-5) Now find the product

(x -5)(x-5) = x^2 -5x -5x + 25

x^2 - 5x - 5x + 25 Now combine like terms to break it down.

x^2 -10x + 25

Answer 2

x² - 10x + 25

General Formulas and Concepts:

Algebra I

• Standard Form: ax² + bx + c = 0
• Expand by FOIL-ing (First, Outside, Inside, Last)

Explanation:

Step 1: Define

(x - 5)²

Step 2: Expand

1. Rewrite: (x - 5)(x - 5)
2. Expand [FOIL]: x² - 5x - 5x + 25
3. Combine like terms: x² - 10x + 25