Example 9 Factors of xº + 27 y’ + 8z” – 18xyz
are
(a) (x + 3y + 22) (x² +9y² + 4z2 - 3xy-6yz-2xz)
(b) (x - 3y - 22) (x² - 9y² + 4z2 + 3xy + 6yz + 2xz)
(c)(x + 3y - 3z)(x2 - 9y² + 422 - 3xy -6yz-2xz)
(d) None of the above
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(d) None of the above. The answer to this question will be (x+3y+2z)(x2+9y2+4z2-3xy-6yz-2xs).
we know that
x3+y3+z3-3xyz=(x+y+z). (x2+y2+z2-xy-yz-zx)
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