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8x^{3} -125y^{3} +180xy + 216

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#### Solution

8x^{3} -125y^{3} +180xy + 216 or, 8x^{3} -125y^{3} + 216 +180xy

= (2x)^{3} + (-5 y)^{3} + 6^{3} - 3 × (2x)(-5y)(6)

= (2x + (-5y) + 6)((2x)^{2} + (-5 y)^{2} + 6^{2} - 2x (-5y ) - (-5y )6 - 6 (2x))

= (2x - 5 y + 6)(4x^{2} + 25y^{2} + 36 +10xy + 30 y -12x)

∴ 8x^{3} -125y^{3} +180xy + 216 = (2x - 5y + 6)(4x^{2} + 25 y^{2} + 36 +10xy + 30 y -12x)

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