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

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Answer 1 · 2017-02-15T20:02:14

See the entire simplification process below:

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 $p != 2.5$

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