Answer :

Given,


A3+3a2 b+3ab2+b3-8 = (a3 +3a2b +3ab2+b3) – 8


= (a+b)3 -8


= (a+b)3 – (2)3


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


= (a+b - 2) (a2+b2 + 2ab+4+2a+2b)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Genius Quiz |  Division of Algebraic ExpressionsGenius Quiz |  Division of Algebraic ExpressionsGenius Quiz | Division of Algebraic Expressions37 mins
RD Sharma | Factorization of Algebraic ExpressionRD Sharma | Factorization of Algebraic ExpressionRD Sharma | Factorization of Algebraic Expression42 mins
NCERT | Various Methods of FactorizationNCERT | Various Methods of FactorizationNCERT | Various Methods of Factorization39 mins
Doubts & Quiz - Simplification of Expressions and Laws of ExponentsDoubts & Quiz - Simplification of Expressions and Laws of ExponentsDoubts & Quiz - Simplification of Expressions and Laws of Exponents41 mins
Master Algebraic IdentitiesMaster Algebraic IdentitiesMaster Algebraic Identities43 mins
Smart Revision | Algebraic IdentitiesSmart Revision | Algebraic IdentitiesSmart Revision | Algebraic Identities55 mins
Quiz | Imp. Qs. of Algebraic IdentitiesQuiz | Imp. Qs. of Algebraic IdentitiesQuiz | Imp. Qs. of Algebraic Identities32 mins
Newton's Second LawNewton's Second LawNewton's Second Law46 mins
Quiz | Imp. Qs. on Algebraic IdentitiesQuiz | Imp. Qs. on Algebraic IdentitiesQuiz | Imp. Qs. on Algebraic Identities65 mins
Pair of AnglesPair of AnglesPair of Angles29 mins
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
caricature
view all courses
RELATED QUESTIONS :

75×75+2×RD Sharma - Mathematics

If x+<span lang="RD Sharma - Mathematics

If a2RD Sharma - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

If a1RD Sharma - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics