Question

Factorise :p^3 -p^2 +ap+p-a-1​

Answer 1

Answer: (p^2 + a + 1) (p - 1)

Full Method:

p^3 - p^2 + ap + p - a - 1

= p^3 - p^2 + ap - a + p - 1

= p^2 ( p - 1) + a (p - 1) + 1 (p - 1)

= (p - 1)(p^2 + a + 1)