8x3 -125y3 +180xy + 216 - Mathematics

8x³ -125y³ +180xy + 216

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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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.4 [Page 23]

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