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Factorise. 125k3 + 27m3 - Marathi (Second Language) [मराठी (द्वितीय भाषा)]

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Question

Factorise.

125k³+ 27m³

Sum

Solution

It is known that,

a³+ b³ = (a + b)( a²− ab + b²)

125k³ + 27m³

Here, a = 5k and b = 3m

= (5k)³ + (3m)³

= (5k + 3m) [(5k)² + (3m)² − (5k)(3m)]

= (5k + 3m) (25k² + 9m² − 15km)

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Factorisation using Identity a3 + b3 = (a + b)(a2 - ab + b2)

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Chapter 6: Factorisation of Algebraic expressions - Practice Set 6.2 [Page 31]

APPEARS IN

Balbharati Mathematics [English] 8 Standard Maharashtra State Board

Chapter 6 Factorisation of Algebraic expressions
Practice Set 6.2 | Q 3 | Page 31

Balbharati Integrated 8 Standard Part 2 [English Medium] Maharashtra State Board

Chapter 3.1 Factorisation of Algebraic expressions
Practice Set 6.2 | Q 1. (3) | Page 46

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