Download free pdf of **Factorisation Worksheets for Class 8 with answers**. Students can easily get all the Class 8 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the Factorisation related sums that are asked in 8th Grade Mathematics Exams Across Indian Schools.

## Factorisation Worksheets for Class 8 in PDF Format

- Factorisation Worksheet for Class 8 Maths
- Factorisation Class 8 Worksheet with Answers
- Factorisation CBSE Class 8 Maths Worksheet
- Download Factorisation Questions For CBSE Class 8 Maths PDF
- Grade 8 Factorisation Worksheet
- Factorisation Revision Worksheet Class 8 Maths
- CBSE Class 8 Factorisation Worksheet
- Factorisation Worksheet for CBSE Class 8

### Class 8 Factorisation Worksheets with answers

**Q.1 Factorise the following expressions**

1. 9x^{2} + 12xy

2. 18x^{2}y – 24xyz

3. 27a^{3}b^{3} – 45a4b^{2}

4. 2a(x+y) – 3b(x+y)

5. 2x(p^{2} + q^{2}) + 4y(p^{2} + q^{2})

6. x(a–5) + y(5–a)

7. 4(a+b) – 6(a+b)^{2}

8. 8(3a – 2b)^{2} – 10(3a – 2b)

9. x(x+y)^{3} – 3x^{2}y(x+y)

10. x^{3} +2x^{2} +5x+10

**Answers:**

- 3
*x*(3*x*+4*y*) - 6
*xy*(3*x*−4*z*) - 9a
^{2}b^{2}(3b –5b) - (x + y) ( 2a – 3b)
- 2(p
^{2}+ q^{2}) (*x*+2*y*) - −(x−y) (a−5)
- −2(a+b) (3a−2b+2)
- 2(3a−2b) (4(3a−2b)−5)
- x
^{2}(x+y) (x+y−3y) - (x+2) (x
^{2}+5)

**Q.2 Factorise the expressions and divide them as directed. **(i) (y

^{2}+7y+10)

**÷**(y+5)

(ii) (m

^{2}–14m–32)

**÷**(m+2)

(iii) (5p

^{2}– 25p + 20)

**÷**(p – 1)

(iv) 4yz (z

^{2}+ 6z – 16)

**÷**2y(z + 8)

(v) 12xy (9x

^{2}– 16y

^{2})

**÷**4xy (3x + 4y)

(vi) 39y

^{3}(50y

^{2}– 98)

**÷**26y

^{2}(5y + 7)

**Answers **:

(i) *y*+2

(ii)*m*−16

(iii) 5(*p*−5)

(iv) 2*z*−4

(v) 3*x*−4*y*

(vi) 3(5*y*−7)

**Q.3** Divide the polynomial 10x^{4} + 17x^{3} – 62x^{2} +30x – 3 by 2x^{2} + 7x – 1.

**Answer** : 5x^{2}+3*x*−2.

**Q.4** Using division show that 3*x*^{2} + 5 is factor of 6*x*^{5} + 15*x*^{4 } + 16*x*^{3} + 4*x*^{2} + 10*x * – 35 .

**Q.5** What must be subtracted from 8*x*^{4} + 14*x*^{3} – 2*x*^{2} + 7*x* – 8 so that the resulting polynomial is exactly divisible by 4*x*^{2} + 3*x* – 2?

**Answer** :

**Q.6 Factors of ax ^{2}y + bxy^{2} + cxyz is **(a) xy (ax + by + cz)

(b) xyz (ax + by + c)

**Answer** : (a) xy (ax + by + cz)

**Q.7 Factors of x ^{2} + xy + 8x + 8y is**(a) (x + y) (y + 8)

(b) (x + y) (x + 8)

**Answer** : (b) (x + 8)(x + y)

**Q.8 Factors of 15xy – 6x + 5y –2 is **(a) (5y–2)(3x+2)

(b) (5y–2)(3x+1)

**Answer** : (b) (5y – 2)(3x + 1)

**Q.9 Factorisation Practice**

- Factorize: 6x + 9y
**Answer**: 3(2x + 3y) - Factorize: 5a^2 – 10ab
**Answer**: 5a(a – 2b) - Factorize: 12xy + 18xz
**Answer**: 6x(2y + 3z) - Factorize: 9p^2 – 12pq
**Answer**: 3p(3p – 4q) - Factorize: 16x^2 – 4y^2
**Answer**: 4(4x + 2y)(4x – 2y) - Factorize: 20x – 15y
**Answer**: 5(4x – 3y) - Factorize: 25a^2 – 20ab
**Answer**: 5a(5a – 4b) - Factorize: 14xy – 21xz
**Answer**: 7x(2y – 3z) - Factorize: 36p^2 – 48pq
**Answer**: 12p(3p – 4q) - Factorize: 9x^2 – 4y^2
**Answer**: (3x + 2y)(3x – 2y) - Factorize: 18xy – 24xz
**Answer**: 6x(3y – 4z) - Factorize: 15a^2 – 9ab
**Answer**: 3a(5a – 3b) - Factorize: 28xy^2 – 35x^2y
**Answer**: 7xy(4y – 5x) - Factorize: 25p^2 – 20pq + 4q^2
**Answer**: (5p – 2q)(5p – 2q) - Factorize: 49x^2 – 56xy + 16y^2
**Answer**: (7x – 4y)(7x – 4y)

**Q 10 Factorise the given quadratic expressions.**

- x^2 + 5x + 6
**Answer**: (x + 2)(x + 3) - 2x^2 – 7x + 3
**Answer**: (2x – 1)(x – 3) - 3x^2 + 14x + 8
**Answer**: (3x + 2)(x + 4) - 4x^2 – 20x + 25
**Answer**: (2x – 5)^2 - 5x^2 – 12x + 7
**Answer**: (5x – 7)(x – 1)

**Q 11 Factorize the given expressions by grouping.**

- 4x^3 + 2x^2 + 6x + 3
**Answer**: 2x^2(2x + 1) + 3(2x + 1) = (2x + 1)(2x^2 + 3) - 3xy + 9x + 2y + 6
**Answer**: 3x(y + 3) + 2(y + 3) = (y + 3)(3x + 2) - 2a^2b – 6ab + 4a – 12
**Answer**: 2ab(a – 3) + 4(a – 3) = (a – 3)(2ab + 4) - 5xy + 25x – 10y – 50
**Answer**: 5x(y + 5) – 10(y + 5) = (y + 5)(5x – 10) - 6m^2n + 2mn – 9m – 3
**Answer**: 2mn(3m + 1) – 3(3m + 1) = (3m + 1)(2mn – 3)