Simplifying Algebraic Expressions: Factoring Example

To simplify the expression, we can first factor out a common factor of 2x from both the numerator and denominator:

(4x^2 - 5) / (2x^2 - 2x)

= (2x(2x - 5)) / (2x(x - 1))

= (2x(2x - 5)) / (2x(x - 1))

= (2x(x - 1)(2x - 5)) / (2x(x - 1))

= (2x - 5)

So the simplified expression is 2x - 5.