Question

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

Answer 1

Answer:

$( - 1 + 27 {a}^{3} ) \div (3a - 1) \\ ( {3}^{3} {a}^{3} - {1}^{3} ) \div (3a - 1) \\ ((3a - 1)( {(3a)}^{2} + 3a \times 1 + {1}^{2} )) \div (3a - 1) \\ {(3a)}^{2} + 3a \times 1 + {1}^{2} \\ 9 {a}^{2} + 3a + 1$