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Question
8x3 -125y3 +180xy + 216
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Solution
8x3 -125y3 +180xy + 216 or, 8x3 -125y3 + 216 +180xy
= (2x)3 + (-5 y)3 + 63 - 3 × (2x)(-5y)(6)
= (2x + (-5y) + 6)((2x)2 + (-5 y)2 + 62 - 2x (-5y ) - (-5y )6 - 6 (2x))
= (2x - 5 y + 6)(4x2 + 25y2 + 36 +10xy + 30 y -12x)
∴ 8x3 -125y3 +180xy + 216 = (2x - 5y + 6)(4x2 + 25 y2 + 36 +10xy + 30 y -12x)
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