Factorize:a3-3a2b+3ab2-b3+8

Given,a3 - 3a2b + 3ab2 - b3 + 8,= {(a)3 – (b)3 -3ab (a-b)} +8= (a-b)3 + (2)3= (a – b +2) {(a - b)2 +(2)2 +2(a - b)}= (a - b +2)(a2 -2ab +b2 +4+2a – 2b)

Q. 55.0( 4 Votes )

Factorize:

a³-3a²b+3ab²-b³+8

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

Answer :

Given,

a³ - 3a²b + 3ab² - b³ + 8,

= {(a)³ – (b)³ -3ab (a-b)} +8

= (a-b)³ + (2)³

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

= (a - b +2)(a² -2ab +b² +4+2a – 2b)

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSFactorize:8x3+27y3+36x2y+54xy2 NEXTFactorize:x3+8y3+6x2y+12xy2

Related Videos

Genius Quiz | Division of Algebraic Expressions37 mins

RD Sharma | Factorization of Algebraic Expression42 mins

NCERT | Various Methods of Factorization39 mins

Doubts & Quiz - Simplification of Expressions and Laws of Exponents41 mins

Smart Revision | Algebraic Identities55 mins

Master Algebraic Identities43 mins

Quiz | Imp. Qs. of Algebraic Identities32 mins

Quiz | Imp. Qs. on Algebraic Identities65 mins

Bonus Questions on Algebraic Identities36 mins

Smart Revision | Important Questions on Algebraic IdentitiesFREE Class

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

view all courses