Question

Write (5x − 2)² in expanded form using the polynomial identity (x − y)² = x² − 2xy + y².

a. 25x² - 20x + 4
b. 25x² + 10x + 4
c. 25x² - 10x + 4
d. 25x² - 20x - 4

Answer 1

To expand (5x - 2)² using the polynomial identity (x - y)² = x² - 2xy + y², we substitute 5x for x and 2 for y. Simplifying, we get 25x² - 20x + 4.

Step-by-step explanation:

To expand (5x - 2)² using the polynomial identity (x - y)² = x² - 2xy + y², we substitute 5x for x and 2 for y:

(5x - 2)² = (5x)² - 2(5x)(2) + (2)²

Simplifying, we get:

25x² - 20x + 4