HCF & LCM [2 Marks]
1. Find the HCF of: a2 – b2 and a2 + 2ab + b2.
2. Find the HCF of: p3 – x, p2 – p – 2.
3. Find the HCF of: x2 – y2 + yz – z2 and x2 + 2xy + y2 -z2.
4. Find the HCF of: a2 + 2a + 1 and a2 + 3a + 2.
5. Find the HCF of: 4p2 – 1, 4p2 + 1 – 4p and 1 + 4p + 4p2.
6. Find the LCM of: 8a3 – 27 and 4a2 – 12a + 9.
7. Find the LCM of: a2 + a- 12 and a2 + 4a – 21.
8. Find the LCM of: 3a – 24, a2 – 64 and a2 + 5a – 14.
9. Find the LCM of: p2 + 2p – 3, p2 – 1 and (p – 1)2.
10. Find the LCM of: x2 – 11x + 10, x2 + 9x – 10 and x2 – 1.
Answers:
1. a + b
2. 1
3. (x + y)2 – z2
4. (a + 1)
5. 1
6. (2a – 3)2 (4a2 + 6a + 9)
7. (a + 4) (a – 3) (a + 7)
8. 3(a − 8) (a + 8) (a + 7) (a − 2)
9. (p + 3) (p + 1) (p − 1) (p − 1)
10. (x – 1) (x + 1) (x – 10) (x + 10)
