Factorize A3 X3 - 3a2bx2 + 3ab2 X - B3 - Mathematics

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Factorize  a3 x3 - 3a2bx2 + 3ab2 x - b3

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Solution

= (ax)3 - 3(ax)2 × b + 3(ax)b2 - b3

= (ax - b)3    [∵  a2 - 3a2b + 3ab2 - b3 = (a - b)3 ]

= (ax - b)(ax - b)(ax - b)

∴ a3 x3 - 3a2bx2 + 3ab2 x - b3  = (ax - b)(ax - b)(ax - b)

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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 11 | Page 17

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