4x^2 -1 / 4x^2 -2x

1 answer

To simplify the expression, you can factor the numerator and denominator:

Numerator: 4x^2 - 1
This is a difference of squares, so you can factor it as (2x + 1)(2x - 1).

Denominator: 4x^2 - 2x
You can factor out a common factor of 2x: 2x(2x - 1).

Now, you can cancel out the common factor of (2x - 1):

(2x + 1)/(2x)