Factorize 8x3 + 27 Y3 + 36x2 Y + 54xy2 - Mathematics

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Factorize 8x3 + 27 y3 + 36x2 y + 54xy2

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Solution

8x3 + 27 y3 + 36x2 y + 54xy2

= (2x)3 + (3y)3 + 3 × (2x)2 × 3y + 3 × (2x)(3y )2

= (2x + 3y )3          [∵ a3 + b3 + 3a2b + 3ab2 = (a + b)3]

= (2x + 3y )(2x + 3y )(2x + 3y )

∴  8x3 + 27 y3 + 36x2 y + 54xy2 = (2x + 3y )(2x + 3y )(2x + 3y )

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.3 [Page 17]

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.3 | Q 4 | Page 17

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