Question

Factorise the following expression.

p² − 10p + 25

Answer 1

p² − 10p + 25

On writing it as follows:

p² + (−5 − 5) p + (−5) (−5)

Using the identity x²+ (a + b) x + ab = (x + a) (x + b)

= (p − 5)²

= (p − 5) (p − 5)