Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Factorise the following: x3 + 8y3 + 6xy – 1 - Mathematics

Sum

Factorise the following:

x3 + 8y3 + 6xy – 1

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Solution

x3 + 8y3 + 6xy – 1 = – (– x3 – 8y3 – 6xy + 1)

= – (– x3 – 8y3 + 1 – 6xy)

= – [(– x)3 + (– 2y)3 + 1 – 3(x)(2y)(1)]

= – [– x – 2y + 1] [(– x)2 + (– 2y)2 + 12 – (– x)(– 2y) – (– 2y)(1) – (1)(– x)]

= (x + 2y – 1)(x2 + 4y2 + 1 – 2xy + 2y + x)

Concept: Factorisation using Identity a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)
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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 3 Algebra
Exercise 3.5 | Q 5. (i) | Page 105
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