Question

Factorise: 8x×x×x + y×y×y- 27z×z×z +18 x×y×z

Answer 1

Step-by-step explanation:

8x^3+y^3-27z^3+18xyz

it is in the form of a^3+b^3+c^3-3abc where

a=2x,b=y,c=-3z

a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)

Hence

8x^3+y^3-27z^3+18xyz=(8x+y-3z)(4x^2+y^2+9z^2-2xy+3yz+6xz)}