Question

use a suitable identity to factorise
27p^3+8q^3+54p^2q+36pq^2​

Answer 1

Answer:

( 3p + 2q )³

Step-by-step explanation:

Recall:

( a + b )³ = a³ + 3a²b + 3ab² + b³

Here we have:

27p³ + 54p²q + 36pq² + 8q³

= (3p)³ + 3(3p)²(2q) + 3(3p)(2q)² + (2q)³

= ( 3p + 2q )³