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Factor

This document contains a list of advanced factorization questions intended for Class 8 students. It includes a total of 50 problems that require students to factorize various algebraic expressions. The questions cover a range of topics, including polynomials and special factorization formulas.
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0% found this document useful (0 votes)
67 views4 pages

Factor

This document contains a list of advanced factorization questions intended for Class 8 students. It includes a total of 50 problems that require students to factorize various algebraic expressions. The questions cover a range of topics, including polynomials and special factorization formulas.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Advanced Factorization Questions for Class 8

1. Factorise 12x^5y^3 - 18x^4y^4 + 30x^3y^2.


2. Factorise 27a^4b^2 - 9a^3b^5 + 6a^2b^3.
3. Factorise 8p^6q - 4p^3q^4 + 12p^2q^2.
4. Factorise 32m^4n^3 - 48m^2n^5 + 16mn^4.
5. Factorise 50x^5 - 75x^3 + 25x.
6. Factorise 9ab^4 - 6a^2b^3 + 3ab^2.
7. Factorise 14p^5q - 21p^4q^2 + 28p^3q^3.
8. Factorise 18x^6y^2 - 12x^3y^5 + 6xy^4.
9. Factorise 24u^4v^2w - 36u^3v^4w + 12u^2v^3w^2.
10. Factorise 40k^5 - 10k^3 + 20k.
11. Factorise x^4 - 16y^4.
12. Factorise 81a^6 - 64b^6.
13. Factorise 49m^4 - 9n^4.
14. Factorise 16x^2 - 25y^6.
15. Factorise x^8 - 256.
16. Factorise 100p^4 - 121q^2.
17. Factorise 36x^6 - 1.
18. Factorise a^4 - 8a^2b^2 + 16b^4.
19. Factorise y^6 - 64.
20. Factorise 9x^4 - 4y^2.
21. Factorise x^2 + 14x + 49.
22. Factorise 4a^2 - 12ab + 9b^2.
23. Factorise 9x^2 + 24xy + 16y^2.
24. Factorise 27m^3 + 54m^2n + 36mn^2 + 8n^3.
25. Factorise x^3 + 3x^2y + 3xy^2 + y^3.
26. Factorise 16a^4 + 8a^2b + b^2.
27. Factorise 64x^3 - 48x^2y + 12xy^2 - y^3.
28. Factorise 25p^2 - 10pq + q^2.
29. Factorise 8x^3 + 12x^2y + 6xy^2 + y^3.
30. Factorise 36a^2 + 12ab + b^2.
31. Factorise x^3 + 2x^2 - x - 2.
32. Factorise 2x^3 + x^2 - 4x - 2.
33. Factorise 3x^3 - 6x^2 + x - 2.
34. Factorise 2x^3 + 7x^2 + 5x + 14.
35. Factorise 4x^3 - x^2 - 16x + 4.
36. Factorise x^3 - 3x^2 - 4x + 12.
37. Factorise 3x^3 + 5x^2 - 6x - 10.
38. Factorise 2x^3 - 9x^2 + x + 6.
39. Factorise 5x^3 - 2x^2 - 15x + 6.
40. Factorise 6x^3 - x^2 - 11x + 2.
41. Factorise x^3 + y^3 + z^3 - 3xyz.
42. Factorise a^3 - b^3.
43. Factorise a^3 + b^3.
44. Factorise 8x^3 + 27y^3.
45. Factorise x^4 + 4x^2y^2 + 4y^4.
46. Factorise x^6 - y^6.
47. Factorise a^2(b - c)^2 - b^2(c - a)^2.
48. Factorise x^3 - 6x^2 + 11x - 6.
49. Factorise x^4 + 2x^2y + y^2.
50. Factorise 4x^4 - 4x^2y^2 + y^4.
Advanced Factorization Questions for Class 8

1. Factorise 12x^5y^3 - 18x^4y^4 + 30x^3y^2.


2. Factorise 27a^4b^2 - 9a^3b^5 + 6a^2b^3.
3. Factorise 8p^6q - 4p^3q^4 + 12p^2q^2.
4. Factorise 32m^4n^3 - 48m^2n^5 + 16mn^4.
5. Factorise 50x^5 - 75x^3 + 25x.
6. Factorise 9ab^4 - 6a^2b^3 + 3ab^2.
7. Factorise 14p^5q - 21p^4q^2 + 28p^3q^3.
8. Factorise 18x^6y^2 - 12x^3y^5 + 6xy^4.
9. Factorise 24u^4v^2w - 36u^3v^4w + 12u^2v^3w^2.
10. Factorise 40k^5 - 10k^3 + 20k.
11. Factorise x^4 - 16y^4.
12. Factorise 81a^6 - 64b^6.
13. Factorise 49m^4 - 9n^4.
14. Factorise 16x^2 - 25y^6.
15. Factorise x^8 - 256.
16. Factorise 100p^4 - 121q^2.
17. Factorise 36x^6 - 1.
18. Factorise a^4 - 8a^2b^2 + 16b^4.
19. Factorise y^6 - 64.
20. Factorise 9x^4 - 4y^2.
21. Factorise x^2 + 14x + 49.
22. Factorise 4a^2 - 12ab + 9b^2.
23. Factorise 9x^2 + 24xy + 16y^2.
24. Factorise 27m^3 + 54m^2n + 36mn^2 + 8n^3.
25. Factorise x^3 + 3x^2y + 3xy^2 + y^3.
26. Factorise 16a^4 + 8a^2b + b^2.
27. Factorise 64x^3 - 48x^2y + 12xy^2 - y^3.
28. Factorise 25p^2 - 10pq + q^2.
29. Factorise 8x^3 + 12x^2y + 6xy^2 + y^3.
30. Factorise 36a^2 + 12ab + b^2.
31. Factorise x^3 + 2x^2 - x - 2.
32. Factorise 2x^3 + x^2 - 4x - 2.
33. Factorise 3x^3 - 6x^2 + x - 2.
34. Factorise 2x^3 + 7x^2 + 5x + 14.
35. Factorise 4x^3 - x^2 - 16x + 4.
36. Factorise x^3 - 3x^2 - 4x + 12.
37. Factorise 3x^3 + 5x^2 - 6x - 10.
38. Factorise 2x^3 - 9x^2 + x + 6.
39. Factorise 5x^3 - 2x^2 - 15x + 6.
40. Factorise 6x^3 - x^2 - 11x + 2.
41. Factorise x^3 + y^3 + z^3 - 3xyz.
42. Factorise a^3 - b^3.
43. Factorise a^3 + b^3.
44. Factorise 8x^3 + 27y^3.
45. Factorise x^4 + 4x^2y^2 + 4y^4.
46. Factorise x^6 - y^6.
47. Factorise a^2(b - c)^2 - b^2(c - a)^2.
48. Factorise x^3 - 6x^2 + 11x - 6.
49. Factorise x^4 + 2x^2y + y^2.
50. Factorise 4x^4 - 4x^2y^2 + y^4.

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