NCERT solution Class 8 factorisation

NCERT Solutions

Class 8 Maths

Factorisation

NCERT Questions

Ex.14.1 Q.1
Ex.14.1 Q.2
Ex.14.1 Q.3
Ex.14.2 Q.1
Ex.14.2 Q.2
Ex.14.2 Q.3
Ex.14.2 Q.4
Ex.14.2 Q.5
Ex.14.3 Q.1
Ex.14.3 Q.2
Ex.14.3 Q.3
Ex.14.3 Q.4
Ex.14.3 Q.5
Ex.14.4 Q.1
Ex.14.4 Q.2
Ex.14.4 Q.3
Ex.14.4 Q.4
Ex.14.4 Q.5
Ex.14.4 Q.6
Ex.14.4 Q.7
Ex.14.4 Q.8
Ex.14.4 Q.9
Ex.14.4 Q.10
Ex.14.4 Q.11
Ex.14.4 Q.12
Ex.14.4 Q.13
Ex.14.4 Q.14
Ex.14.4 Q.15
Ex.14.4 Q.16
Ex.14.4 Q.17
Ex.14.4 Q.18
Ex.14.4 Q.19
Ex.14.4 Q.20
Ex.14.4 Q.21

Ex.14.2 Q.4

Factorize:

1. a⁴ – b⁴

2. p⁴ – 81

3. x⁴ – (y + z)⁴

4. x⁴ – (x – z)⁴

5. a⁴ – 2a² b² + b⁴

1. a⁴ – b⁴ = (a²)² – (b²)² = (a² – b²) (a² + b²)

[a² – b² = (a - b) (a + b)]

= (a - b) (a + b) (a² + b²)

[a² – b² = (a - b) (a + b)]

2. p⁴ – 81 = (p²) – 9²

= (p² - 9) (p² + 9)

[a² – b² = (a - b) (a + b)]

= (p² - 3²) (p² + 9)

= (p - 3) (p + 3) (p² + 9)

[a² – b² = (a - b) (a + b)]

3. x⁴ – (y + z)⁴ = (x²)² - [(y + z)²]²

= [x² – (y + z)²] [x² + (y + z)²]

= [x – (y + z)] [x + (y + z)] [x² + (y + z)²]

[a² – b² = (a - b) (a + b)]

= [x – y - z)] [x + y + z] [x² + (y + z)²]

[a² – b² = (a - b) (a + b)]

4. x⁴ – (x - z)⁴ = (x²)² – [(x - z)²]²

= [x² – (x – z)²] [x² + (x – z)²]

[a² – b² = (a - b) (a + b)]

= [x – (x – z)] [x + (x – z)] [x² + (x – z)²]

= [x – x + z] [x + x – z] [x² + x² – 2 × x × z + z²]

[(a - b)² = a² – 2ab + b²]

= z (2x - z) (2x² – 2xz + z²)

5. a⁴ – 2a² b² + b⁴= (a²)² – 2a² b² + (b²)²

[(a - b)² = a² – 2ab + b²]

= (a² – b²)²

= [(a - b) (a + b)]²

[a² – b² = (a - b) (a + b)]

= (a - b)²(a + b)²

Factorisation Class 8 Maths NCERT Chapter 14 NCERT Solutions

Solving NCERT textbook questions of Factorisation Class 8 Maths NCERT Chapter 14 is a crucial step to gauge your understanding of the concepts. It provides you with an opportunity to assess your grasp of the material after learning each chapter. We have already provided solutions to all the exercises in the NCERT textbook of Class 8 Maths Factorisation, available in various formats such as video, text, and downloadable PDFs. If you need assistance with any of the NCERT questions or any other academic topics, feel free to ask in the “Ask Questions” section of LearnoHub.com.

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NCERT solutions of Factorisation Class 8 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 8 Maths Factorisation NCERT solutions.