Factorize 8x2 + Y3 +12x2 Y + 6xy2 - Mathematics

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Factorize  8x2 + y3 +12x2 y + 6xy2

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Solution

8x2 + y3 +12x2 y + 6xy2

= (2x)3 + y3 + 3 × (2x)2 × y + 3(2x) × y2

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

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

∴ 8x3 + y3 +12x2 y + 6xy2 = (2x + y )(2x + y )(2x + 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 7 | Page 17

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