Maharashtra State BoardSSC (English Medium) 8th Standard
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Factorise. 125k3 + 27m3 - Mathematics

Sum

Factorise.

125k+ 27m3

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Solution

It is known that,

a3  +  b3  = ( a + b)( a2 + b2 - ab)

125 k3 + 27 m3

= (5k)3 + (3m)3

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

= ( 5k + 3m) ( 25 k2 + 9 m2 - 15km)

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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 6 Factorisation of Algebraic expressions
Practice Set 6.2 | Q 3 | Page 31
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