Question

factorise a² + 1/a² - 5a + 2 - 5/a​

Answer 1

Answer:

a² + 1/a² - 5a + 2 - 5/a

= a²+1/a²-5a-5/a+2

= a²+1/a²-5(a+1/a)+2

= (a+1/a)²-2-5(a+1/a)+2

= (a+1/a)²-5(a+1/a)

= (a+1/a)[(a+1/a)-5]

= (a+1/a)(a+1/a-5)