Exercises

Exercise 1 – Expanding Brackets

Expand and simplify the following:

1. $$(x+1)(x+12)$$
2. $$(x+14)(x-15)$$
3. $$(x-7)(x+5)$$
4. $$(x+8)(x-12)$$
5. $$(x-9)(x+1)$$
6. $$(x-9)(x+3)$$
7. $$(x+13)(x-19)$$
8. $$(x-12)(x+18)$$
9. $$(x+18)(x-7)$$
10. $$(x-12)(x-1)$$
11. $$(x+3)(x-10)$$
12. $$x(x-11)$$
13. $$(x-6)(x+5)$$
14. $$(x-6)(x-7)$$
15. $$(x-8)(x-17)$$
16. $$(x+10)(x-12)$$
17. $$(x+10)(x-5)$$
18. $$(x+12)(x+12)$$
19. $$(x-5)x$$
20. $$(x-17)(x+16)$$
Solutions
1. $$x^2+13x+12$$
2. $$x^2-x-210$$
3. $$x^2-2x-35$$
4. $$x^2-4x-96$$
5. $$x^2-8x-9$$
6. $$x^2-6x-27$$
7. $$x^2-6x-247$$
8. $$x^2+6x-216$$
9. $$x^2+11x-126$$
10. $$x^2-13x+12$$
11. $$x^2-7x-30$$
12. $$x^2-11x$$
13. $$x^2-x-30$$
14. $$x^2-13x+42$$
15. $$x^2-25x+136$$
16. $$x^2-2x-120$$
17. $$x^2+5x-50$$
18. $$x^2+24x+144$$
19. $$x^2-5x$$
20. $$x^2-x-272$$