factorise 27x³+y³+z³-9xyz
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SOLUTION:-
Given 27x³±y³±z³-9xyz
=(3x)³±(y)³±(z)³-3(3x)(y)(z)
=(3x±y±z)
[(3x)²±y²±z²-(3x)(y)-
(y)(z)-(z)(3x)]
*(x³±y³±z³-3xyz=(x±y±z)
(x²±y²±z²-xy-yz-zx)
=(3x±y±z) (9x²±y²±z²-3xy-yz-3xz)
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