2x)3 + (3y - 4z )3 - Mathematics

English0CBSEEnglish Medium Class 9Question PapersQuestion PapersTextbook Solutions14493MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos345Time TablesSyllabus(2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3 - Mathematics

Advertisements

Advertisements

Question

(2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3

Advertisements

SolutionShow Solution

Let 2x - 3y = a, 4z - 2x = b, 3y - 4z = c

∴ a + b + c = 2x - 3y + 4z - 2x + 3y - 4z = c

∵ a + b + c = 0 ∴a3 + b3 + c3 = 3abc

∴ (2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3 = 3(2x - 3y )(4z - 2x)(3y - 4z)

shaalaa.comAlgebraic Expressions Report Error Is there an error in this question or solution?Q 10Q 9Q 11Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.4 [Page 23]

APPEARS IN

RD Sharma Mathematics [English] Class 9Chapter 5 Factorisation of Algebraic ExpressionsExercise 5.4 | Q 10 | Page 23

RELATED QUESTIONS

Factorize: x3 + x - 3x2 - 3

Factorize xy9 - yx9

Factorize `x^2 + 2sqrt3x - 24`

Factorize `21x^2 - 2x + 1/21`

Factorize 8a3 + 27b3 + 36a2b + 54ab2

The expression (a − b)3 + (b − c)3 + (c −a)3 can be factorized as

Mark the correct alternative in each of the following: The factors of a2 − 1 − 2x − x2 are

Separate the constants and variables from the following :

`-7,7+"x",7"x"+"yz",sqrt5,sqrt("xy"),(3"yz")/8,4.5"y"-3"x",`

8 −5, 8 − 5x, 8x −5y × p and 3y2z ÷ 4x

Evaluate: (3x - 1)(4x3 - 2x2 + 6x - 3)

Evaluate: (6p2 - 8pq + 2q2) (- 5p)

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

© 2025 Shaalaa.com | Contact Us | Privacy PolicyShare 0 0 0 0 0Notifications

Select a course

CANCELEnglishहिंदीमराठीuserLoginCreate free accountemail:password:Log in Forgot password?CourseEnglish Medium Class 9 CBSE

• 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×