Factorization
Factorize the following:
1. 9x2
+ 24xy + 15y2
2. x2
– 16xy – 9y2
3. 6c2 + 11cd – 10d2
4. 5x2
– 11xy + 6y2
5. 2y2
– 15yb + 28b2
6. √2
x2 + 3x +√2
7. √3
x2+ 11x + 6√3
8. 5√5
y2 + 20 y + 3 √5
9. 2y2 + 3√5 y + 5
10. 7x2 + 2√14 x +2
11. 1
+ 6x + 9x2
12. 144x2 – 72x + 9
13. 4a2b2 + 20abcd + 25c2d2
14. x2 + y2 – a2
– b2 + 2xy + 2ab
15. 33x3y3
+ 27z3
16. (x + y)3 + 8y3
17. (x2
+ 1)3 + (x2 – 1)3
18. x6 – y6
19 (x+y)3
− (x–y) 3
20. (p+q)
3 + (p–q) 3 + 6p (p2 – q2)
21 27x3
+ y3 + 27x2y + 9xy2
22 y3
– 12y2 +48x – 64
23 x3 – y3 + 1 + 3xy
24 8x3
– 125y3 + 180xy +216
25. 8x3
– 27y3 +z3+18xyz
26. 33a3
– 8b3 – 125c3 − 30 3abc
27 (a
–2b) 3 + (2b – 3c) 3+ (3c – a) 3
28 (x
+ y – 2z) 3 + (y + z – 2x) 3 + (z + x – 2y) 3
29 (a2
– b2) 3 + (b2 – c2) 3 +
(c2 – a2) 3
30 a3 (b – c) 3 + b3
(c – a) 3 + c3 (a – b) 3
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