Factorise : 4a2 - (4b2 + 4bc + C2) - Mathematics

English0CISCE(English Medium) ICSE Class 9Question Papers10Question PapersTextbook Solutions21321MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos319Time TablesSyllabusFactorise: 4a2 - (4b2 + 4bc + c2) - Mathematics

Advertisements

Advertisements

Question

Factorise: 4a2 - (4b2 + 4bc + c2)

Sum

Advertisements

SolutionShow Solution

4a2 - (4b2 + 4bc + c2)

= (2a)2 - [(2b)2 + (c)2 + 2 × 2b × c]

= (2a)2 - (2b + c)2

= [2a - (2b + c)][2a + (2b + c)] ...[∵ a2 - b2 = (a + b)(a - b)]

= [2a - 2b - c][2a + 2b + c]

shaalaa.comMethod of Factorisation : Difference of Two Squares Report Error Is there an error in this question or solution?Q 13Q 12Q 14Chapter 5: Factorisation - Exercise 5 (C) [Page 72]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSEChapter 5 FactorisationExercise 5 (C) | Q 13 | Page 72

RELATED QUESTIONS

Factorise : a2 - (2a + 3b)2

Factorise : (a + b)3 - a - b

Factorise : (x2 + 4y2 - 9z2)2 - 16x2y2

Factorise the following by the difference of two squares:x2 - 16

Factorise the following by the difference of two squares:8xy2 - 18x3

Factorise the following by the difference of two squares:x2 + y2 - z2 - 2xy

Factorise the following by the difference of two squares:(x - 2y)2 -z2

Factorise the following:(2a - b)2 -9(3c - d)2

Factorise the following:4x2 - 12ax - y2 - z2 - 2yz + 9a2

Express each of the following as the difference of two squares:(x2 - 2x + 3)(x2 + 2x + 3)

Question Bank with Solutions

• Maharashtra State Board Question Bank with Solutions (Official)

Textbook Solutions

• Balbharati Solutions (Maharashtra)
• Samacheer Kalvi Solutions (Tamil Nadu)
• NCERT Solutions
• RD Sharma Solutions
• RD Sharma Class 10 Solutions
• RD Sharma Class 9 Solutions
• Lakhmir Singh Solutions
• TS Grewal Solutions
• ICSE Class 10 Solutions
• Selina ICSE Concise Solutions
• Frank ICSE Solutions
• ML Aggarwal Solutions

NCERT Solutions

• NCERT Solutions for Class 12 Maths
• NCERT Solutions for Class 12 Physics
• NCERT Solutions for Class 12 Chemistry
• NCERT Solutions for Class 12 Biology
• NCERT Solutions for Class 11 Maths
• NCERT Solutions for Class 11 Physics
• NCERT Solutions for Class 11 Chemistry
• NCERT Solutions for Class 11 Biology
• NCERT Solutions for Class 10 Maths
• NCERT Solutions for Class 10 Science
• NCERT Solutions for Class 9 Maths
• NCERT Solutions for Class 9 Science

Board / University Study Material

• CBSE Study Material
• Maharashtra State Board Study Material
• Tamil Nadu State Board Study Material
• CISCE ICSE / ISC Study Material
• Mumbai University Engineering Study Material

Question Paper Solutions

• CBSE Previous Year Question Papers With Solutions for Class 12 Arts
• CBSE Previous Year Question Papers With Solutions for Class 12 Commerce
• CBSE Previous Year Question Papers With Solutions for Class 12 Science
• CBSE Previous Year Question Papers With Solutions for Class 10
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Arts
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Commerce
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Science
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 10
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Arts
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Commerce
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Science
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 10

Other Resources

• Entrance Exams
• Video Tutorials
• Question Papers
• Question Bank Solutions
• Question Search (beta)
• Privacy Policy
• Terms and Conditions
• Contact Us
• About Us
• Shaalaa App
• Ad-free Subscriptions

© 2026 Shaalaa.com | Contact Us | Privacy PolicyShare 0 0 0 0 0Notifications

Select a course

CANCELEnglishहिंदीमराठीuserLoginCreate free accountemail:password:Log in Forgot password?Course(English Medium) ICSE Class 9 CISCE

• Home
• Class 1 - 4
• Class 5 - 8
• Class 9 - 10
• Class 11 - 12
• Entrance Exams
• Search by Text or Image
• Textbook Solutions
• Study Material
• Remove All Ads

• Change mode
• Log out

Use app×