125 + 8x3 - 27 Y3 + 90xy - Mathematics

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125 + 8x3 - 27 y3 + 90xy

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Solution

= 53 + (2x)3 + (-3y )3 - 3 × 5 × 2x × (-3y )

= (5 + 2x + (-3y ))(52 + (2x)2 + (-3y )2 - 5(2x) - 2x (-3y ) - (-3y )5)

= (5 + 2x - 3y )(25 + 4x2 + 9 y2 -10x + 6xy +15 y )

∴ 125 + 8x3  - 27 y3  + 90xy = (5 + 2x - 3y)(25 + 4x2   + 9 y2   -10x + 6xy +15y )

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

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.4 | Q 6 | Page 23

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