Question

Expand the expression (x−3)^2 .

Answer 1

The expanded expression of (x - 3)^2 is x^2 - 6x + 9.

Step-by-step explanation:

Here's how we expand the expression:

Recognize the pattern: (x - 3)^2 is a special case of the general pattern (a + b)^2 = a^2 + 2ab + b^2, where a = x and b = -3.

Apply the pattern:

a^2 = x^2

2ab = 2 * x * (-3) = -6x

b^2 = (-3)^2 = 9

Combine the terms:

x^2 - 6x + 9

Visual Representation:

Therefore, the expanded expression is x^2 - 6x + 9.