MATHEMATICS
Grade 10
MORE EXERCISES
Product of a binome with a trinome.
Question 1
Determine the following products :
$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ (a + b)(a^2 + 2ab + b^2) } $$
[ Answer 1. ]
$$ \hspace*{6 mm}\mathrm{2.\kern2mm\ (a + b)(a^2 - 3ab - b^2) } $$
[ Answer 2. ]
$$ \hspace*{6 mm}\mathrm{3.\kern2mm\ (c - d)(c^2 + 2cd - d^2) } $$
[ A 3. ]
$$ \hspace*{6 mm}\mathrm{4.\kern2mm\ (p + 2q)(p^2 - 5pq - q^2) } $$
[ A 4. ]
$$ \hspace*{6 mm}\mathrm{5.\kern2mm\ (x - y)(x^2 - xy - y^2) } $$
[ A 5. ]
$$ \hspace*{6 mm}\mathrm{6.\kern2mm\ (a + b)(a^2 + ab + b^2) } $$
[ A 6. ]
$$ \hspace*{6 mm}\mathrm{7.\kern2mm\ (c + d)(c^2 - 4cd + 3d^2) } $$
[ A 7. ]
$$ \hspace*{6 mm}\mathrm{8.\kern2mm\ (m - n)(m^2 - 5mn + 6n^2) } $$
[ A 8. ]
$$ \hspace*{6 mm}\mathrm{9.\kern2mm\ (p + q)(p^2 - pq - 6q^2) } $$
[ A 9. ]
$$ \hspace*{6 mm}\mathrm{10.\kern2mm\ (x - y)(x^2 + xy + 6y^2) } $$
[ A 10. ]
$$ \hspace*{6 mm}\mathrm{11.\kern2mm\ (a - b)(2a^2 + 3ab + 5b^2) } $$
[ A 11. ]
$$ \hspace*{6 mm}\mathrm{12.\kern2mm\ (p + q)(3p^2 - 4pq - 6q^2) } $$
[ A 12. ]
$$ \hspace*{6 mm}\mathrm{13.\kern2mm\ (a + 2)(a^2 + 5a - 7) } $$
[ A 13. ]
$$ \hspace*{6 mm}\mathrm{14.\kern2mm\ (b - 5)(b^2 - 3b + 8) } $$
[ A 14. ]
$$ \hspace*{6 mm}\mathrm{15.\kern2mm\ (2c + 3)(3c^2 + c - 7) } $$
[ A 15. ]
$$ \hspace*{6 mm}\mathrm{16.\kern2mm\ (m - 3)(m^2 + m - 8) } $$
[ A 16. ]
$$ \hspace*{6 mm}\mathrm{17.\kern2mm\ (n + 6)(2n^2 - 3n + 4) } $$
[ A 17. ]
$$ \hspace*{6 mm}\mathrm{18.\kern2mm\ (2p - 5)(3p^2 + 4p - 7) } $$
[ A 18. ]
$$ \hspace*{6 mm}\mathrm{19.\kern2mm\ (3q - 7)(2q^2 - 5q + 3) } $$
[ A 19. ]
$$ \hspace*{6 mm}\mathrm{20.\kern2mm\ (2x + 3)(3x2 - x - 4) } $$
[ A 20. ]
$$ \hspace*{6 mm}\mathrm{21.\kern2mm\ (5y - 9)(y^2 + 2y + 3) } $$
[ A 21. ]
$$ \hspace*{6 mm}\mathrm{22.\kern2mm\ (1 - a)(1 - 3a - 2a^2) } $$
[ A 22. ]
$$ \hspace*{6 mm}\mathrm{23.\kern2mm\ (3 - 2b)(4 - b - 5b^2) } $$
[ A 23. ]
$$ \hspace*{6 mm}\mathrm{24.\kern2mm\ (5 - p)(2 + 3p - 4p^2) } $$
[ A 24. ]
Question 1
Determine the following products :
$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ (a + b)(a^2 + 2ab + b^2) } $$
[ Answer 1. ]
$$ \hspace*{6 mm}\mathrm{3.\kern2mm\ (c - d)(c^2 + 2cd - d^2) } $$
[ A 3. ]
$$ \hspace*{6 mm}\mathrm{5.\kern2mm\ (x - y)(x^2 - xy - y^2) } $$
[ A 5. ]
$$ \hspace*{6 mm}\mathrm{7.\kern2mm\ (c + d)(c^2 - 4cd + 3d^2) } $$
[ A 7. ]
$$ \hspace*{6 mm}\mathrm{9.\kern2mm\ (p + q)(p^2 - pq - 6q^2) } $$
[ A 9. ]
$$ \hspace*{6 mm}\mathrm{11.\kern2mm\ (a - b)(2a^2 + 3ab + 5b^2) } $$
[ A 11. ]
$$ \hspace*{6 mm}\mathrm{13.\kern2mm\ (a + 2)(a^2 + 5a - 7) } $$
[ A 13. ]
$$ \hspace*{6 mm}\mathrm{15.\kern2mm\ (2c + 3)(3c^2 + c - 7) } $$
[ A 15. ]
$$ \hspace*{6 mm}\mathrm{17.\kern2mm\ (n + 6)(2n^2 - 3n + 4) } $$
[ A 17. ]
$$ \hspace*{6 mm}\mathrm{19.\kern2mm\ (3q - 7)(2q^2 - 5q + 3) } $$
[ A 19. ]
$$ \hspace*{6 mm}\mathrm{21.\kern2mm\ (5y - 9)(y^2 + 2y + 3) } $$
[ A 21. ]
$$ \hspace*{6 mm}\mathrm{23.\kern2mm\ (3 - 2b)(4 - b - 5b^2) } $$
[ A 23. ]
$$ \hspace*{6 mm}\mathrm{2.\kern2mm\ (a + b)(a^2 - 3ab - b^2) } $$
[ Answer 2. ]
$$ \hspace*{6 mm}\mathrm{4.\kern2mm\ (p + 2q)(p^2 - 5pq - q^2) } $$
[ A 4. ]
$$ \hspace*{6 mm}\mathrm{6.\kern2mm\ (a + b)(a^2 + ab + b^2) } $$
[ A 6. ]
$$ \hspace*{6 mm}\mathrm{8.\kern2mm\ (m - n)(m^2 - 5mn + 6n^2) } $$
[ A 8. ]
$$ \hspace*{6 mm}\mathrm{10.\kern2mm\ (x - y)(x^2 + xy + 6y^2) } $$
[ A 10. ]
$$ \hspace*{6 mm}\mathrm{12.\kern2mm\ (p + q)(3p^2 - 4pq - 6q^2) } $$
[ A 12. ]
$$ \hspace*{6 mm}\mathrm{14.\kern2mm\ (b - 5)(b^2 - 3b + 8) } $$
[ A 14. ]
$$ \hspace*{6 mm}\mathrm{16.\kern2mm\ (m - 3)(m^2 + m - 8) } $$
[ A 16. ]
$$ \hspace*{6 mm}\mathrm{18.\kern2mm\ (2p - 5)(3p^2 + 4p - 7) } $$
[ A 18. ]
$$ \hspace*{6 mm}\mathrm{20.\kern2mm\ (2x + 3)(3x2 - x - 4) } $$
[ A 20. ]
$$ \hspace*{6 mm}\mathrm{22.\kern2mm\ (1 - a)(1 - 3a - 2a^2) } $$
[ A 22. ]
$$ \hspace*{6 mm}\mathrm{24.\kern2mm\ (5 - p)(2 + 3p - 4p^2) } $$
[ A 24. ]
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