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.2

Factorize:

1. 4p² – 9q²

2. 63a² – 112b²

3. 9x² – 36 4. 16x⁵ – 144x²

5. (l + m)² – (l - m)²

6. 9x² y² – 16

7. (x² – 2xy + y²) – z²

8. 25a² – 4b² + 28bc – 49c²

1. 4p² – 9q² = (2p)² – (3q)²

= (2p – 3q) (2p + 3q)

[a² – b² = (a - b) (a + b)]

2. 63a² – 112b² = 7(9a² – 16b²)

= 7{(3a)² – (4b)²}

= 7(3a – 4b) (3a + 4b)

[a² – b² = (a - b) (a + b)]

3. 49x² – 36 = (7x)² – 6²

= (7x - 6) (7x + 6)

[a² – b² = (a - b) (a + b)]

4. 16x⁵ – 144x² = 16x³ (x² – 9)

= 16x³ (x² – 3²)

= 16x³ (x – 3) (x + 3)

[a² – b² = (a - b) (a + b)]

5. (l + m)² – (l - m)² = l² + 2lm + m² – (l² – 2lm + m²)

= l² + 2lm + m² – l² + 2lm - m²

= 4lm

6. 9x² y² – 16 = (3xy)² – 4²

= (3xy - 4) (3xy + 4)

[a² – b² = (a - b) (a + b)]

7. (x² – 2xy + y²) – z² = (x - y)² – z²

= (x – y + z) (x – y - z)

[a² – b² = (a - b) (a + b)]

8. 25a² – 4b² + 28bc – 49c²= 25a² – (4b² - 28bc + 49c²)

= 25a² – {(2b)² – 2 × 2b × 7c + (7c)²}

= (5a)² – (2b – 7c)²

= {5a - (2b – 7c)} (5a + 2b – 7c)

= {5a - 2b + 7c) (5a + 2b – 7c)

Factorisation Class 8 Maths NCERT Chapter 14 NCERT Solutions

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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.