Question

simplify using suitable identity
-1+27a^3 / 3a-1

Answer 1

Step-by-step explanation:

(a-b) (a^2+ab+b^2) = a^3-b^3

-1+27a^3 / 3a-1

= (3a)^3-(1)^3/3a - 1

= (3a-1)(9a^2 + 3a+ 1)/(3a-1)

= (9a^2 + 3a+ 1)

1 + 27a^3 / 3a-1 = (9a^2 + 3a + 1)