Question

How do you factor `5a^3-a^2-5a+1`?

Answer 1

`(5a-1)(a+1)(a-1)`

Explanation:

`5a^3-a^2-5a+1 = 5a^3-5a^2+4a^2-4a-a+1=5a^2(a-1)+4a(a-1)-1(a-1) =(5a^2+4a-1)(a-1)= (5a^2+5a-a-1)(a-1)={5a(a+1)-1(a+1)}(a-1) =(5a-1)(a+1)(a-1)`[Ans]

Answer 2

`=5a(a^2-1)-1(a^2-1)`
`=(a^2-1)(5a-1)=(a+1)(a-1)(5a-1)`