Factorise 27x3+ y3+ z3-9 xyz
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27x3+y3+z3-9xyz
(3x)3+y3+z3-9xyz
(a3+b3+c3)=(a+b+c)(a2+b2+c2-ab-bc-cb)+3abc
a=3x
b=y
c=z
(3x+y+z)(9x2+y2+z2-3xy-yz-yz-3.3x.y.z)
(3x+y+z)(9x2+y2+z2-3xy-3xz-3xz)+3.3x.y.z-9xyz
(3x+y+z)(9x2+y2+z2-3xy-3xz-yz)
.9xyz and -9xyz both hv oppste sign so become zero
(3x)3+y3+z3-9xyz
(a3+b3+c3)=(a+b+c)(a2+b2+c2-ab-bc-cb)+3abc
a=3x
b=y
c=z
(3x+y+z)(9x2+y2+z2-3xy-yz-yz-3.3x.y.z)
(3x+y+z)(9x2+y2+z2-3xy-3xz-3xz)+3.3x.y.z-9xyz
(3x+y+z)(9x2+y2+z2-3xy-3xz-yz)
.9xyz and -9xyz both hv oppste sign so become zero
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