Question

Factorize the polynomial x^3+8y3+64z3-24xyz.

Answer 1

Answer:

a³+b³+c³-3abc=(a+b+c) (a²+b²+c²-ab-bc-ca)

Comparing with the expression of standard formulae,

Here,

a=x

b=-2y

c=-4z

There fore,

=>x³+(-2y) ³+(-4z) ³-3(x) (-2y) (-4z) =(x-2y-4z) (x²+4y²+16z²+2xy-8yz+4xz)