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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Factorise the following: 8x3 + 125y3 - Mathematics

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Question

Factorise the following:

8x3 + 125y3

Sum

Solution

8x3 + 125y3 = (2x)3 + (5y)3

∴ a3 + b3 = (a + b) (a2 – ab + b2)

= (2x + 5y) [(2x)2 – (2x)(5y) + (5y)2]

= (2x + 5y)2 (4x2 – 10xy + 25y2)

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Chapter 3: Algebra - Exercise 3.5 [Page 105]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 3 Algebra
Exercise 3.5 | Q 4. (i) | Page 105
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