Solve (x–2x)²

(x-2x)²

= (-x)²

= x²

Therefore, (x-2x)² is equal to x².

Expand (x–2x)²

(x-2x)²

= (x-2x)(x-2x)

= x(x-2x) - 2x(x-2x)

= x*x - x*2x - 2x*x + 2x*2x

= x² - 2x² - 2x² + 4x²

= x² - 4x² + 4x²

= x²

Therefore, (x-2x)² expands to x².

To solve the expression (x-2x)², we need to simplify it step by step.

Step 1: Combine like terms inside the parentheses.
(x - 2x)² = (-x)²

Step 2: Simplify the expression inside the parentheses.
(-x)² = x²

Therefore, the solution to (x-2x)² is x².