MATHEMATICS
Grade 10
MORE EXERCISES
Product of two binomials to form a trinomial.
Question 1
$$ \hspace*{13 mm}\mathrm{Determine\ the\ product\ : \kern30mm } $$
$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ (x + 1)(x + 2) } $$
[ Answer 1. ]
$$ \hspace*{6 mm}\mathrm{2.\kern2mm\ (x + 2)(x + 3) } $$
[ Answer 2. ]
$$ \hspace*{6 mm}\mathrm{3.\kern2mm\ (x + 4)(x + 5) } $$
[ A 3. ]
$$ \hspace*{6 mm}\mathrm{4.\kern2mm\ (x - 1)(x - 2) } $$
[ A 4. ]
$$ \hspace*{6 mm}\mathrm{5.\kern2mm\ (x - 2)(x - 3) } $$
[ A 5. ]
$$ \hspace*{6 mm}\mathrm{6.\kern2mm\ (x - 4)(x - 5) } $$
[ A 6. ]
$$ \hspace*{6 mm}\mathrm{7.\kern2mm\ (a + 1)(a + 6) } $$
[ A 7. ]
$$ \hspace*{6 mm}\mathrm{8.\kern2mm\ (a + 2)(a + 3) } $$
[ A 8. ]
$$ \hspace*{6 mm}\mathrm{9.\kern2mm\ (a - 1)(a - 6) } $$
[ A 9. ]
$$ \hspace*{4 mm}\mathrm{10.\kern2mm\ (a - 2)(a - 3) } $$
[ A 10. ]
$$ \hspace*{4 mm}\mathrm{11.\kern2mm\ (x + 1)(x - 2) } $$
[ A 11. ]
$$ \hspace*{4 mm}\mathrm{12.\kern2mm\ (x - 1)(x + 2) } $$
[ A 12. ]
$$ \hspace*{4 mm}\mathrm{13.\kern2mm\ (a - 2)(a + 3) } $$
[ A 13. ]
$$ \hspace*{4 mm}\mathrm{14.\kern2mm\ (a + 2)(a - 3) } $$
[ A 14. ]
$$ \hspace*{4 mm}\mathrm{15.\kern2mm\ (b - 3)(b + 5) } $$
[ A 15. ]
$$ \hspace*{4 mm}\mathrm{16.\kern2mm\ (b + 3)(b - 2) } $$
[ A 16. ]
$$ \hspace*{4 mm}\mathrm{17.\kern2mm\ (c - 2)(c + 5) } $$
[ A 17. ]
$$ \hspace*{4 mm}\mathrm{18.\kern2mm\ (c + 2)(c - 5) } $$
[ A 18. ]
$$ \hspace*{4 mm}\mathrm{19.\kern2mm\ (p - 3)(p + 7) } $$
[ A 19. ]
$$ \hspace*{4 mm}\mathrm{20.\kern2mm\ (p + 3)(p - 7) } $$
[ A 20. ]
$$ \hspace*{4 mm}\mathrm{21.\kern2mm\ (q - 2)(q - 5) } $$
[ A 21. ]
$$ \hspace*{4 mm}\mathrm{22.\kern2mm\ (q + 2)(q + 5) } $$
[ A 22. ]
$$ \hspace*{4 mm}\mathrm{23.\kern2mm\ (q - 2)(q + 5) } $$
[ A 23. ]
$$ \hspace*{4 mm}\mathrm{24.\kern2mm\ (q + 2)(q - 5) } $$
[ A 24. ]
$$ \hspace*{4 mm}\mathrm{25.\kern2mm\ (x - 3)(x - 5) } $$
[ A 25. ]
$$ \hspace*{4 mm}\mathrm{26.\kern2mm\ (x + 3)(x + 5) } $$
[ A 26. ]
$$ \hspace*{4 mm}\mathrm{27.\kern2mm\ (x - 3)(x + 5) } $$
[ A 27. ]
$$ \hspace*{4 mm}\mathrm{28.\kern2mm\ (x + 3)(x - 5) } $$
[ A 28. ]
$$ \hspace*{4 mm}\mathrm{29.\kern2mm\ (y - 2)(y + 4) } $$
[ A 29. ]
$$ \hspace*{4 mm}\mathrm{30.\kern2mm\ (y + 2)(y - 4) } $$
[ A 30. ]
Question 1
Determine the following products :
$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ (x + 1)(x + 2) } $$
[ Answer 1. ]
$$ \hspace*{6 mm}\mathrm{3.\kern2mm\ (x + 4)(x + 5) } $$
[ A 3. ]
$$ \hspace*{6 mm}\mathrm{5.\kern2mm\ (x - 2)(x - 3) } $$
[ A 5. ]
$$ \hspace*{6 mm}\mathrm{7.\kern2mm\ (a + 1)(a + 6) } $$
[ A 7. ]
$$ \hspace*{6 mm}\mathrm{9.\kern2mm\ (a - 1)(a - 6) } $$
[ A 9. ]
$$ \hspace*{4 mm}\mathrm{11.\kern2mm\ (x + 1)(x - 2) } $$
[ A 11. ]
$$ \hspace*{4 mm}\mathrm{13.\kern2mm\ (a - 2)(a + 3) } $$
[ A 13. ]
$$ \hspace*{4 mm}\mathrm{15.\kern2mm\ (b - 3)(b + 5) } $$
[ A 15. ]
$$ \hspace*{4 mm}\mathrm{17.\kern2mm\ (c - 2)(c + 5) } $$
[ A 17. ]
$$ \hspace*{4 mm}\mathrm{19.\kern2mm\ (p - 3)(p + 7) } $$
[ A 19. ]
$$ \hspace*{4 mm}\mathrm{21.\kern2mm\ (q - 2)(q - 5) } $$
[ A 21. ]
$$ \hspace*{4 mm}\mathrm{23.\kern2mm\ (q - 2)(q + 5) } $$
[ A 23. ]
$$ \hspace*{4 mm}\mathrm{25.\kern2mm\ (x - 3)(x - 5) } $$
[ A 25. ]
$$ \hspace*{4 mm}\mathrm{27.\kern2mm\ (x - 3)(x + 5) } $$
[ A 27. ]
$$ \hspace*{4 mm}\mathrm{29.\kern2mm\ (y - 2)(y + 4) } $$
[ A 29. ]
$$ \hspace*{6 mm}\mathrm{2.\kern2mm\ (x + 2)(x + 3) } $$
[ Answer 2. ]
$$ \hspace*{6 mm}\mathrm{4.\kern2mm\ (x - 1)(x - 2) } $$
[ A 4. ]
$$ \hspace*{6 mm}\mathrm{6.\kern2mm\ (x - 4)(x - 5) } $$
[ A 6. ]
$$ \hspace*{6 mm}\mathrm{8.\kern2mm\ (a + 2)(a + 3) } $$
[ A 8. ]
$$ \hspace*{4 mm}\mathrm{10.\kern2mm\ (a - 2)(a - 3) } $$
[ A 10. ]
$$ \hspace*{4 mm}\mathrm{12.\kern2mm\ (x - 1)(x + 2) } $$
[ A 12. ]
$$ \hspace*{4 mm}\mathrm{14.\kern2mm\ (a + 2)(a - 3) } $$
[ A 14. ]
$$ \hspace*{4 mm}\mathrm{16.\kern2mm\ (b + 3)(b - 2) } $$
[ A 16. ]
$$ \hspace*{4 mm}\mathrm{18.\kern2mm\ (c + 2)(c - 5) } $$
[ A 18. ]
$$ \hspace*{4 mm}\mathrm{20.\kern2mm\ (p + 3)(p - 7) } $$
[ A 20. ]
$$ \hspace*{4 mm}\mathrm{22.\kern2mm\ (q + 2)(q + 5) } $$
[ A 22. ]
$$ \hspace*{4 mm}\mathrm{24.\kern2mm\ (q + 2)(q - 5) } $$
[ A 24. ]
$$ \hspace*{4 mm}\mathrm{26.\kern2mm\ (x + 3)(x + 5) } $$
[ A 26. ]
$$ \hspace*{4 mm}\mathrm{28.\kern2mm\ (x + 3)(x - 5) } $$
[ A 28. ]
$$ \hspace*{4 mm}\mathrm{30.\kern2mm\ (y + 2)(y - 4) } $$
[ A 30. ]
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