Question

Factorise - 27 p³ - 1/216 - 9/2 p² + 1/4 p​

Answer 1

Step-by-step explanation:

27 p³ - 1/216 - 9/2 p² + 1/4 p

27p³ - 1/216 - 9p²/2 + p/4

(3p)³ - (1/6)³ - 3*(3p)²*(1/6) + 3*(1/6)²*3p

(3p)³ - (1/6)³ - 3*(3p)*(1/6) [ 3p - 1/6 ]

• a³ - b³ - 3ab(a - b) = (a - b)³

(3p - 1/6)³