Question

Factorise 27 P cube - 1 / 216 - 9 / 2 p square + 1 / 4 P​

Answer 1

Answer:

216p^6 - 8p³ + 432p² - 7776p  

Step-by-step explanation:

      (27p³ - 1) / 216 - 9 / 2p² - 1 / 4p

                   ⇒ [ 216(9) - 2p² (27p³ - 1) ] / 216 × 2p² - [1 / 4p]

                   ⇒ [ 1944 - 54p^5 + 2p² ] / 432p² - [1 / 4p]

                 ⇒ 432p² (1) - 4p (1944 - 54p^5 + 2p²)

                 ⇒ 432p² - 7776p + 216p^6 - 8p³

               ⇒ 216p^6 - 8p³ + 432p² - 7776p