Q. 193.8( 8 Votes )
Factorize each of the following expressions:
x3+6x2+12x+16
Answer :
Given,
X3 +6x212x+16 = (x3 + 6x2+12x+8)+8
= (x+2)3 + 8 [∵ (a+b)3 = a3 + b3 +3ab(a+b)]
= (x+2)3 + (2)3
= (x+2+2) {(x+2)2 +4 – 2 (x+2)}
= (x+4)(x2+4+4x+4 - 2x - 4)
= (x+4)(x2+2x+4)
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 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
Genius Quiz | Division of Algebraic Expressions37 minsRD Sharma | Factorization of Algebraic Expression42 minsNCERT | Various Methods of Factorization39 minsDoubts & Quiz - Simplification of Expressions and Laws of Exponents41 minsSmart Revision | Algebraic Identities55 minsMaster Algebraic Identities43 minsQuiz | Imp. Qs. of Algebraic Identities32 minsQuiz | Imp. Qs. on Algebraic Identities65 minsBonus Questions on Algebraic Identities36 minsSmart Revision | Important Questions on Algebraic IdentitiesFREE ClassTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
75×75+2×75×25+25×25 equal to
RD Sharma - MathematicsIf x+
=5, then x2+
=
If a2+
=102, find the value of a-
.
Factorize:
2 – 50x2
RS Aggarwal & V Aggarwal - MathematicsFactorize:
100 – 9x2
RS Aggarwal & V Aggarwal - MathematicsFactorize:
10x2 – 9x – 7
RS Aggarwal & V Aggarwal - MathematicsFactorize:
9x2 + 16y2 + 4z2 –24xy + 16yz – 12xz
RS Aggarwal & V Aggarwal - MathematicsIf a1/3+b1/3 + c1/3 =0, then
RD Sharma - MathematicsFactorize:
x2 – y2 + 6y – 9
RS Aggarwal & V Aggarwal - MathematicsFactorize:
