Question

125 x square 3 + 8 y square 3 + Z Square 3 - 30 x y z​

Answer 1

Answer:

$(5x + 2y + z)(9 {x}^{2} + 4 {y}^{2} - 10xy - 2yz - 5xz)$

Step-by-step explanation:

According to the formula,

${x}^{3} + {y}^{3} + {z}^{3} - 3xyz =(x +y + z )( {x}^{2} + {y}^{2} + {z}^{2} - xy - yz - zx) \\ = > {125}x^{3} + 8 {y}^{3} + {z}^{3} \\ = > {(5x)}^{3} + {(2y)}^{3} + {z}^{3} \\ = > (5x + 2y + z)({(3x)}^{2} + {(2y)}^{2} + {z}^{2} - (5x \times 2y) - (2y \times z) - (z \times 5x)) \\ = > (5x + 2y + z)(9 {x}^{2} + 4 {y}^{2} - 10xy - 2yz - 5xz)$