125x^3+27y^3+8z^3-90xyz
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125x^3+27y^3+8z^3-90xyz
= (5x)^3 + (3y)^3 + (2z)^3 - 3 × (5x) × (3y) × (2z)
= (5x + 3y + 2z) {(5x)^2 + (3y)^2 + (2z)^2 - (5x)(3y) - (3y)(2z) - (2z)(5x)}
= (5x + 3y + 2z) ( 25x^2 + 9y^2 + 4z^2 - 15xy - 6yz - 10zx)
= (5x)^3 + (3y)^3 + (2z)^3 - 3 × (5x) × (3y) × (2z)
= (5x + 3y + 2z) {(5x)^2 + (3y)^2 + (2z)^2 - (5x)(3y) - (3y)(2z) - (2z)(5x)}
= (5x + 3y + 2z) ( 25x^2 + 9y^2 + 4z^2 - 15xy - 6yz - 10zx)
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