Factorize X3 + 8y3 + 6x2 Y +12xy2 - Mathematics

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Factorize  x3 + 8y3 + 6x2 y +12xy2

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Solution

= ( x)3 + (2 y)3 + 3 × x2 × 2 y + 3 × x × (2 y)2

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

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

∴ x3 + 8 y3 + 6x2 y +12xy2 = ( x + 2y )( x + 2 y )( x + 2 y)

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

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.3 | Q 6 | Page 17

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