Question

factorize (x-2y)whole cube+(2y-3z)whole cube+(3z-x)wole cube

Answer 1

here a is x - 2y

b. is 2y-3z

c is 3z -x

when we add a, b, ans c

x-2y+2y-3z+3z-x=0

we get 0

so now we will use the algebraic identify

a cube +b cube + c cube=3abc when a+b+c=0

then, (x-2y) whole cube +(2y-3z) whole cube + (3z-x) whole cube =3abc=3(x-2y)(2y-3z)(3z-x)

hope this helps

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