Factorization of Algebraic Expressions - Question
Bank 8
1. Factorise: ab(c² + 1) + c(a² + b²)
2. The factors of 9a² - 6√5a + 5 are
3. Factorise: 49(2x + 3y)² - 70(4x² - 9y²) + 25(2x - 3y)²
4. a² - b² - c² + 2bc + a + b - c when factorised equals
5. Factorise: 1 + 2ab - (a² + b²)
6. Factorise x■ + 4
7. The factors of a² - b² - 4c² + 4d² - 4(ad - bc) are :
8. Factors of x■ + 5x² + 9 are
9. The factors of 625a¹² - 81b¹² are :
10. The factors of x■ - x■ - 30 are :
11. The factors of (x■ - 7x²y² + y■) are
12. Factors of 3m■ - 48m are
13. Factorise: x² - xy + y - x
14. Factorise 4x■ + 3x² + 1
15. Factorise: x² + 5√3x + 12
16. Factorise: y¹■ - 63y■ - 64
17. Factorise: a■ - 20a² + 64
18. Factorise: 27 + 125a³ + 135a + 225a²
19. Factorise: (5x - 3)² - (5x - 3) - 20
20. 6√5x² - 2x - 4√5 is equal to
21. 10(3x - 4x)² - 3(3x - 4x) - 7 is equal to :
22. 0.86³ + 0.14³ / (0.86² - 0.86 + 0.14 + 0.14²) is equal to
23. Factorise: a■ - 26a³ - 27
24. Find the square root of: 4a² + 9b² + c² - 12ab + 6bc - 4ac
25. Factorise: 27a³ - b³ - 1 - 9ab
26. Factorise: x³ + 1x³ - 2
27. Factors of (2x - 3y)³ + (3y - 5z)³ + (5z - 2x)³ are:
28. If (x^(3/2) - xy^(1/2) + x^(1/2)y - y^(3/2)) / (x^(1/2) - y^(1/2)) is divided by (x^(1/2) - y^(1/2)), the
quotient is :
29. Factorise: a² + 1a² + 3 - 2a - 2a
30. Factorise: x³ - 3x² + 3x + 7