Question

Factorise:- a^3-12a-16​

Answer 1

Answer:

 (a + 2)2 • (a - 4)

Answer 2

Answer:

(a-4) (a+2) (a+2)

Step-by-step explanation:

a³-12a-16

= a³-4a²+4a²-16a+4a-16

= a²(a-4) + 4a (a-4) + 4(a-4)

= (a-4) (a²+ 4a + 4)

= (a-4) {a² + 2*2*a + (2)² }

= (a-4) ( a + 2 )²

= (a-4) (a+2) (a+2)

{a = 4, -2 }