Factorize:a3x3-3a2bx2+3ab2x-b3

Given,a3x3-3a2bx2+3ab2x-b3,= (ax)3 – 3abx(ax-b) – (b)3= (ax)3 – (b)3 – 3abx (ax-b)= (ax-b)3= (ax-b) (ax-b) (ax-b)

Q11 of 111 Page 5

Factorize:
a³x³-3a²bx²+3ab²x-b³

Given,

a³x³-3a²bx²+3ab²x-b³,

= (ax)³ – 3abx(ax-b) – (b)³

= (ax)³ – (b)³ – 3abx (ax-b)

= (ax-b)³

= (ax-b) (ax-b) (ax-b)

Factorize:

8a³-27b³-36a²b+54ab²

Factorize:

x³-12x(x-4)-64

Factorize each of the following expressions:

a³+8b³+64c³-24abc

Factorize each of the following expressions:

x³-8y³+27z³+18xyz