Question

Factorize 8 x cube + y cube+ 27 z cube - 18 x y z

Answer 1

8x^3=(2x)^3 ---------------a=2x

27y^3=(3y)^3--------------b=3y

and z^3---------------------c=z

18xyz=3(2x)(3y)(z)

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

so, put the values of a, b and c as in the identity, you will get the answer....

(2x+3y+z)(4x^2+9y^2+z^2-6xy-3yz-2zx)

 

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