Factorisation Class 8 Extra Questions Maths Chapter 14 / VERY IMPORTANT FOR STUDENTS FOR PRACTICE

 

Factorisation Class 8 Extra Questions Maths     Chapter 14 

SOLVE IF YOU FACE ANY DIFFICULTY WHILE SOLVING THEN COMMENT

                                                                                                                

by krishan kumar

1. Express the following as in the form of (a+b)(a-b)

(i) a2 – 64

(ii) 20a2 – 45b2

(iii) 32x2y2 – 8

(iv) x2 – 2xy + y2 – z2

(v) 49x2 – 1

2. Find the common factors of the following:

(i) 6 xyz, 24 xy2 and 12 x2y

(ii) 3x2 y3, 10x3 y2 and 6x2 y2 z

3. Factorize the following expressions:

(i) 54x3y + 81x4y2

(ii) 14(3x – 5y)3 + 7(3x – 5y)2

(iii) 15xy + 15 + 9y + 25x

4. Factorize x2 + 6x – 16

5. Solve for (4x2 – 100) ÷ 6(x + 5)

6.Find the common factors of the following terms.

(a) 25x2y, 30xy2

(b) 63m3n, 54mn4

7.Factorise the following polynomials.

(a) 6p(p – 3) + 1 (p – 3)

(b) 14(3y – 5z)3 + 7(3y – 5z)2

8.Factorise the following:

(a) p2q – pr2 – pq + r2

(b) x2 + yz + xy + xz

9.Factorise

(a) a2 + 14a + 48

(b) m2 – 10m – 56

10.Factorise the following polynomials.

(a) 16x4 – 81

(b) (a – b)2 + 4ab

11.Evaluate the following divisions:

(a) (3b – 6a) ÷ (30a – 15b)

(b) (4x2 – 100) ÷ 6(x + 5)

12.Simplify the following expressions:

13.Factorise the given expressions and divide that as indicated.

(a) 39n3(50n2 – 98 ) ÷ 26n2(5n – 7)

(b) 44(p4 – 5p3 – 24p2) ÷ 11p(p – 8)

14.   Simplify: –45p3 ÷ 9p2

15. Simplify: 4x2y2(3z – 24), 36xy(z – 8)

16. Divide: 81x3(50x2 – 98) by 27x2 (5x + 7)

17. Which of the following is the remainder when z(5z2 – 80) is divided by 5z(z – 4):

        (a) z + 4

(b) z – 4

(c) 5

18.  Factorise: 

54x2 +42x3 – 30x4

19..   Factorise: 2x2yz+ 2xy2z + 4xyz

20 Factorise: 30xy – 12x + 10y– 4

21.  Regroup the terms and factorise: z – 19 + 19xy – xyz

22. Factorise: 100x2 – 80xy + 16y2

23. Factorise: 16x4 – y4

24. Factorise: x2 + 6x + 8

25. Factorise: 49y2 – 1

26. Divide 10(x3y2x2 + x2y3z2 + x2y2z3) by 5x2y2z2.

27.   Simplify: 12(y2 + 7y + 10) ÷ 6(y + 5)