FACTORIZATION
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1. Factorise completely<br />
2<br />
a ab ac bc<br />
2. Factorise the expression<br />
2<br />
6y<br />
13y8<br />
Hence, or otherwise,<br />
solve the equation<br />
2<br />
6y<br />
13y 8 0<br />
3. Factorise completely<br />
2 2<br />
x y 4x 4y<br />
4. Factorise<br />
3a at 6p 2pt<br />
5. Factorise completely<br />
i. 1a<br />
b 2<br />
ii.<br />
<br />
2 2<br />
2x xy y 2x y<br />
6. Factorise completely<br />
i.<br />
ii.<br />
2<br />
4x<br />
8x<br />
2<br />
4y<br />
8y<br />
21<br />
7. Factorise completely<br />
i.<br />
ii.<br />
1<br />
9x<br />
2<br />
8. Factorise<br />
2<br />
3x<br />
7x<br />
6<br />
2<br />
<br />
6x<br />
x2<br />
9. Factorise completely<br />
2<br />
4x 16<br />
10. Factorise completely<br />
i.<br />
ii.<br />
2<br />
4a 1<br />
2<br />
6x<br />
x<br />
2
iii.<br />
2<br />
3x<br />
21x<br />
11. Factorise completely<br />
i.<br />
ii.<br />
9a<br />
2 2<br />
b<br />
3x 8y 4xy<br />
6<br />
12. Factorise completely<br />
i.<br />
ii.<br />
iii.<br />
9 25m<br />
2<br />
2<br />
2x<br />
x15<br />
x y ax ay<br />
13. Factorise completely<br />
3 2 3<br />
12 p q 8p q<br />
14. Factorise completely<br />
5x xy 2y<br />
10<br />
15. Factorise completely<br />
i.<br />
ii.<br />
iii.<br />
2<br />
x<br />
2<br />
xy<br />
e 1<br />
2 2<br />
5p 9pq 2q<br />
16. Factorise completely<br />
2 2<br />
i. 4g f<br />
ii. tm 3t 2pm 6p<br />
i.<br />
ii.<br />
2<br />
8h<br />
4h<br />
2<br />
4a 1<br />
18. ….<br />
i. Factorise<br />
2 2<br />
4p<br />
4q<br />
ii. Given that<br />
2 2<br />
4 p 4q 2r<br />
that<br />
show that<br />
p q r,<br />
and<br />
pq<br />
<br />
19. Factorise completely<br />
i.<br />
ii.<br />
2 2<br />
15x y 20xy<br />
2<br />
3 12b<br />
20. Factorise completely<br />
i.<br />
x<br />
2<br />
3x2<br />
1<br />
2<br />
ii. ( x 3)( x 2) ax 3a<br />
21. Factorise completely<br />
i.<br />
ii.<br />
iii.<br />
2<br />
2y<br />
3y<br />
81<br />
m<br />
2<br />
2<br />
2x<br />
x<br />
15<br />
17. Factorise completely
22. Factorise completely<br />
2<br />
4x 9<br />
23. Factorise completely<br />
i.<br />
ii.<br />
iii.<br />
y<br />
2<br />
3y<br />
2<br />
9x 1<br />
2<br />
8a<br />
2a1<br />
24. Factorise completely<br />
i.<br />
ii.<br />
3<br />
p<br />
<br />
p<br />
6nx 9mx 4ny 6my<br />
25. Factorise completely<br />
i. 3xy - x<br />
ii.<br />
iii.<br />
x y 2 x y<br />
2<br />
4a 9<br />
26. Factorise completely<br />
3pq q 6p<br />
2<br />
27. Factorise completely<br />
2<br />
i. 4y y<br />
ii.<br />
2<br />
6x<br />
13x5<br />
28. Factorise completely<br />
i.<br />
2<br />
a 9<br />
ii. 6ap 15a 4p<br />
10<br />
29. Factorise completely<br />
i.<br />
ii.<br />
iii.<br />
4x<br />
2 2<br />
<br />
y<br />
6m 4n - 9km - 6kn<br />
2<br />
2a<br />
a6<br />
30. Factorise completely<br />
i.<br />
ii.<br />
2 2<br />
7mp<br />
14m p<br />
2<br />
31. Simplify<br />
i.<br />
ii.<br />
2y<br />
11y15<br />
2<br />
x 1<br />
x 1<br />
2 2<br />
4ab<br />
2a b<br />
ab<br />
32. Factorise completely<br />
i.<br />
ii.<br />
iii.<br />
3g 3t 2mg 2mt<br />
2<br />
3x<br />
2x8<br />
2<br />
3x 27<br />
33. Factorise completely<br />
i.<br />
ii.<br />
2 2<br />
5a b ab<br />
2<br />
9k<br />
1
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