Question

Factorist : 512 x³ 27 y³​

Answer 1

Answer:

it will factorise by

a

a^3+b^3

Answer 2

We know the identity a

3 −b 3 =(a−b)(a 2 +b 2 +ab)

Using the above identity, the equation x

3 −512 can be factorised as follows:

x 3−512=(x) 3−(8) 3 = (x−8)[(x) 2 +(8)

2 +(x×8)]=(x−8)(x 2 +64+8x)

Hence, x 3 −512=(x−8)(x 2 +64+8x)

Hope it will help you.....