Given,(a – 2b)3 – 512b3= (a – 2b)3 – (8b)3= (a – 2b – 8b) {(a – 2b)2 +(8b)2 +(a – 2b) 8b}= (a – 10b) (a2 +4b2 – 4ab +64b2 +8ab – 16b2)= (a – 10b) (a2 +52b2 +4ab)

Q. 103.6( 7 Votes )

Factorize each of

Class 9th RD Sharma - Mathematics 5. Factorization of Algebraic Expressions

Answer :

Given,

(a – 2b)³ – 512b³

= (a – 2b)³ – (8b)³

= (a – 2b – 8b) {(a – 2b)² +(8b)² +(a – 2b) 8b}

= (a – 10b) (a² +4b² – 4ab +64b² +8ab – 16b²)

= (a – 10b) (a² +52b² +4ab)

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