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Question
factorize: 8x3-125y3+180xy+216
factorize: 8x3-125y3+180xy+216
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Solution
Let a = 2 x b = - 5 y c = 6
8 x³ - 125 y³ + 216 + 180 x y
= a³ + b³ + c³ - 3 a b c
= (a + b + c) (a² + b² + c² - ab - b c - ca) we know this.
= (2x - 5 y + 6) (4 x² + 25 y² + 36 + 10 x y + 30 y - 12 x)
8 x³ - 125 y³ + 216 + 180 x y
= a³ + b³ + c³ - 3 a b c
= (a + b + c) (a² + b² + c² - ab - b c - ca) we know this.
= (2x - 5 y + 6) (4 x² + 25 y² + 36 + 10 x y + 30 y - 12 x)
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