Factorise: X4 - 5x2 - 36 - Mathematics

English0CISCEICSE ICSE Class 8Question PapersQuestion PapersTextbook Solutions7749MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos309Time TablesSyllabusFactorise: X4 - 5x2 - 36 - Mathematics

Advertisements

Advertisements

Question

Factorise: x4 - 5x2 - 36

Sum

Advertisements

SolutionShow Solution

x4 - 5x2 - 36

= (x2)2 - 5x2 - 36

= (x2)2 - 9x2 + 4x2 - 36 ...{∵ -36 = -9 × 4 } {-5 = -9 + 4}

= x2 (x2 - 9) + (x2 - 9)

= (x2 - 9)(x2 + 4)

= [x2 - (3)2] [x2 + 4]

= (x + 3)(x - 3)(x2 + 4)

= (x2 +4) (x + 3)(x - 3)

shaalaa.comFactorisation by Taking Out Common Factors Report Error Is there an error in this question or solution?Q 8.5Q 8.4Q 8.6Chapter 13: Factorisation - Exercise 13 (F) [Page 163]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSEChapter 13 FactorisationExercise 13 (F) | Q 8.5 | Page 163

RELATED QUESTIONS

Factorise the following expression:

5x2y − 15xy2

Factorise.

15xy − 6x + 5y − 2

Factorize the following:5x − 15x2

Factorize the following:2l2mn - 3lm2n + 4lmn2

Factorize the following:9x2y + 3axy

Factorise : 3 - 5x + 5y - 12(x - y)2

Factorise : a3 - a2 +a

Factorise : 15x4y3 - 20x3y

Factorise : a3b - a2b2 - b3

Factorise : 6x2y + 9xy2 + 4y3

Factorise: 36x2y2 - 30x3y3 + 48x3y2

factorise : 8(2a + 3b)3 - 12(2a + 3b)2

factorise : (ax + by)2 + (bx - ay)2

Factorise: a2 - 0·36 b2

Factorise the following by taking out the common factors:5a(x2 - y2) + 35b(x2 - y2)

Factorise the following by taking out the common factors:81(p + q)2 -9p - 9q

Factorise the following by taking out the common factors:(mx + ny)2 + (nx - my)2

Factorise the following by taking out the common factors:36(x + y)3 - 54(x + y)2

Factorise:4x4 + 25y4 + 19x2y2

Factorise the following by taking out the common factor

18xy – 12yz

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?CourseICSE ICSE Class 8 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×