Question

Express 2x² - 4x + 1 in the form a(x + b)² + c​

Answer 1

`2x^2-4x+1=2(x-1)^2-1`

Explanation:

`2x^2-4x+1\\\\=2(x^2-2x)+1\\\\=2(x^2-2x+1-1)+1\\\\=2(x-1)^2-2+1\\\\=2(x-1)^2-1\\`

Answer 2

Explanation:

2x² - 4x + 1

By taking out 2x from 2x² - 4x as common, we get

2x² - 4x + 1

2x(x-2)+1