Question

Divide and then verify your answer.
(i) a2 - 15a +54 by a -6​

Answer 1

Answer:

(a² - 15a + 54)/ (a - 6) = (a - 9).

Step-by-step explanation:

a² - 15a + 54

= a² - 6a - 9a + 54 (Factoring)

= a(a - 6) - 9 (a -6) (Factoring)

= (a - 9)(a - 6) (Factoring).

So, (a² - 15a + 54)/ (a - 6)

= (a - 9)(a - 6)/ (a - 6)

= (a - 9).