Question

factorize 27x³+y³+z³-9xyz​

Answer 1

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Answer 2

Step-by-step explanation:

$\frak\red{Question}\:❓ \\ 27 {x}^{3} + {y}^{3} + {z}^{3} - 9xyz \\ (3x) {}^{3} + (y) {}^{3} + (z) {}^{3} - 3 \times 3x \times y \times z \\ we \: know \: that \: {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca) \\ (3x + y + z)(9 {x}^{2} + {y}^{2} + {z}^{2} - 3xy - yz - 3xz)$