8x3 + 27y3 - 216z3 + 108xyz

8x³ + 27y³ - 216z³ + 108xyz

= (2x)³ + (3y )³ + (-6z )³ - 3(2x)(3y )(-6z )

= (2x + 3y + (-6z ))((2x)² + (3y )² + (-6z )² - 2x × 3y - 3y (-6z ) - (-6z )2x)

= (2x + 3y - 6z )(4x² + 9 y² + 36z² - 6xy +18 yz +12zx)

∴ 8x³ + 27 y³ - 216z³ +108xyz = (2x + 3y - 6z )(4x² + 9 y² + 36z² - 6xy +18 yz +12zx)

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

Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.4 | Q 5 | Page 23

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