Question

How do you simplify `(2p-5)/(4p^2-20p+25)`?

Answer 1

See the entire simplification process below:

Explanation:

The denominator of this fraction can be factored as:

`(2p - 5)/(4p^2 - 20p + 25) -> (2p - 5)/((2p - 5)(2p - 5))`

We can now factor the numerator and denominator as:

`color(red)(cancel(color(black)(2p - 5)))/(color(red)(cancel(color(black)(2p - 5)))(2p - 5)) ->`

`1/(2p - 5)` Where `p != 2.5`