Important Questions on Factorisation for Class 8

Important Questions on Factorisation for Class 8 are available in this Maths article. Important Questions on Factorisation for Class 8 are very useful to solve the problems easily. This article helps the students to know the key questions and answers about Factorisation. Factorisation breaks down algebraic expressions into simpler factors which we use in our day to day calculations. Factorisation is an important concept in Class 8 Mathematics. It is the process of breaking an algebraic expression into smaller parts called factors. Factorisation helps students simplify algebraic expressions and solve equations easily.In factorisation, common factors are taken out to make the expression simpler. Example: 6x + 12 = 6(x + 2) Here, 6 is the common factor. Learning factorisation helps students understand algebra, identities, and equations more clearly. Our subject experts have provided detailed solutions for these problems based on the old CBSE syllabus and the NCERT textbook. This material helps students revise the chapter easily and perform well in the final examination.

Solved Problems on Factorisation for Class 8

1: Factorise: 5x + 15

Answer:

The common factor is 5.

5x + 15 = 5(x + 3)

2: Factorise: 8y - 24

Answer:

The common factor is 8.

8y - 24 = 8(y - 3)

3: Factorise: x² + 5x

Answer:

The common factor is x.

x² + 5x = x(x + 5)

4: Factorise: 12a + 18b

Answer:

The common factor is 6.

12a + 18b = 6(2a + 3b)

5: Factorise: 9m² - 3m

Answer:

The common factor is 3m.

9m² - 3m = 3m(3m - 1)

6: Factorise: 14p + 21q

Answer:

The common factor is 7.

14p + 21q = 7(2p + 3q)

7: Factorise: x² - 4x

Answer:

The common factor is x.

x² - 4x = x(x - 4)

8: Factorise: 16a²b + 8ab

Answer:

The common factor is 8ab.

16a²b + 8ab = 8ab(2a + 1)

9: Factorise: 25x² + 10x

Answer:

The common factor is 5x.

25x² + 10x = 5x(5x + 2)

10: Factorise: 18y² - 6y

Answer:

The common factor is 6y.

18y² - 6y = 6y(3y - 1)

Practice Questions on Factorisation for Class 8

1. Factorise: 7x + 21
2. Factorise: 10a - 40
3. Factorise: x² + 8x
4. Factorise: 15m + 20n
5. Factorise: 12p² - 4p
6. Factorise: 24x + 36y
7. Factorise: y² - 9y
8. Factorise: 30ab + 15b
9. Factorise: 14m² + 7m
10. Factorise: 9x² - 18x