Question

Q. 6) Factorise :p3 - 27 = ?​

Answer 1

Answer:

(P+3)(p2-30+9)

Step-by-step explanation:

Consider, p3 + 27 = p3 + 33

It is in the form of a3 + b3 = (a + b)(a2 – ab + b2)

Hence p3 + 33 = (p + 3)(p2 – 3p + 32) = (p + 3)(p2 – 3p + 9)

I hope it helps...

:D

Answer 2

p³-27

= (p)³ - (3)³

= (p-3) ( p²+3p+9)

Identity used

a³-b³ = (a-b)(a²+ab+b²)