imath - exercises re. product : difference of two squares

MATHEMATICS
Grade 10
MORE EXERCISES
The difference of two squares.

Question 1

$$ \hspace*{13 mm}\mathrm{Determine\ the\ following\ products\ : \kern30mm } $$

$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ (a + b)(a - b) } $$

[ Answer 1. ]

$$ \hspace*{6 mm}\mathrm{2.\kern2mm\ (m + n)(m - n) } $$

[ Answer 2. ]

$$ \hspace*{6 mm}\mathrm{3.\kern2mm\ (p + q)(p - q) } $$

[ A 3. ]

$$ \hspace*{6 mm}\mathrm{4.\kern2mm\ (x - y)(x + y) } $$

[ A 4. ]

$$ \hspace*{6 mm}\mathrm{5.\kern2mm\ (a + 1)(a - 1) } $$

[ A 5. ]

$$ \hspace*{6 mm}\mathrm{6.\kern2mm\ (b + 2)(b - 2) } $$

[ A 6. ]

$$ \hspace*{6 mm}\mathrm{7.\kern2mm\ (c - 3)(c + 3) } $$

[ A 7. ]

$$ \hspace*{6 mm}\mathrm{8.\kern2mm\ (d - 5)(d + 5) } $$

[ A 8. ]

$$ \hspace*{6 mm}\mathrm{9.\kern2mm\ (f - 9)(f + 9) } $$

[ A 9. ]

$$ \hspace*{6 mm}\mathrm{10.\kern2mm\ (h - 13)(h + 13) } $$

[ A 10. ]

$$ \hspace*{6 mm}\mathrm{11.\kern2mm\ (m - 14)(m + 14) } $$

[ A 11. ]

$$ \hspace*{6 mm}\mathrm{12.\kern2mm\ (n - 15)(n + 15) } $$

[ A 12. ]

$$ \hspace*{6 mm}\mathrm{13.\kern2mm\ \Big(p - \frac{1}{2}\Big)\Big(p + \frac{1}{2}\Big) } $$

[ A 13. ]

$$ \hspace*{6 mm}\mathrm{14.\kern2mm\ \Big(q + \frac{1}{3}\Big)\Big(q - \frac{1}{3}\Big) } $$

[ A 14. ]

$$ \hspace*{6 mm}\mathrm{15.\kern2mm\ \Big(x - \frac{1}{4} \Big)\Big(x + \frac{1}{4} \Big) } $$

[ A 15. ]

$$ \hspace*{6 mm}\mathrm{16.\kern2mm\ \Big(y - \frac{2}{5} \Big)\Big(y + \frac{2}{5} \Big) } $$

[ A 16. ]

$$ \hspace*{6 mm}\mathrm{17.\kern2mm\ \Big(z - \frac{3}{2} \Big)\Big(z + \frac{3}{2} \Big) } $$

[ A 17. ]

$$ \hspace*{6 mm}\mathrm{18.\kern2mm\ \Big(a - \frac{7}{8} \Big)\Big(a + \frac{7}{8} \Big) } $$

[ A 18. ]

$$ \hspace*{6 mm}\mathrm{19.\kern2mm\ (x - 0,1 )(x + 0,1 ) } $$

[ A 19. ]

$$ \hspace*{6 mm}\mathrm{20.\kern2mm\ (y - 0,2)(y + 0,2) } $$

[ A 20. ]

$$ \hspace*{6 mm}\mathrm{21.\kern2mm\ (z - 0,625 )(z + 0,625 ) } $$

[ A 21. ]

$$ \hspace*{6 mm}\mathrm{22.\kern2mm\ (n + 0,75)(n - 0,75) } $$

[ A 22. ]

$$ \hspace*{6 mm}\mathrm{23.\kern2mm\ (2b - 1)(2b + 1) } $$

[ A 23. ]

$$ \hspace*{6 mm}\mathrm{24.\kern2mm\ (5c - 3)(5c + 3) } $$

[ A 24. ]

$$ \hspace*{6 mm}\mathrm{25.\kern2mm\ (4m - 7)(4m + 7) } $$

[ A 25. ]

$$ \hspace*{6 mm}\mathrm{26.\kern2mm\ (3n - 2p)(3n + 2p) } $$

[ A 26. ]

$$ \hspace*{6 mm}\mathrm{27.\kern2mm\ (a - 1,1)(a + 1,1) } $$

[ A 27. ]

$$ \hspace*{6 mm}\mathrm{28.\kern2mm\ (2a - 0,3)(2a + 0,3) } $$

[ A 28. ]

$$ \hspace*{6 mm}\mathrm{29.\kern2mm\ (3b + 0,2)(3b - 0,2) } $$

[ A 29. ]

$$ \hspace*{6 mm}\mathrm{30.\kern2mm\ (2c - 0,5f)(2c + 0,5f) } $$

[ A 30. ]

$$ \hspace*{6 mm}\mathrm{31.\kern2mm\ (0,4m - 1,5n)(0,4m + 1,5n) } $$

[ A 31. ]

$$ \hspace*{6 mm}\mathrm{32.\kern2mm\ (2,5 - 1,5n)(2,5 + 1,5n) } $$

[ A 32. ]

$$ \hspace*{6 mm}\mathrm{33.\kern2mm\ (13m - 17n)(13m + 17n) } $$

[ A 33. ]

$$ \hspace*{6 mm}\mathrm{34.\kern2mm\ (17a + 8b)(17a - 8b) } $$

[ A 34. ]

$$ \hspace*{6 mm}\mathrm{35.\kern2mm\ (a + \frac{1}{c})(a - \frac{1}{c}) } $$

[ A 35. ]

$$ \hspace*{6 mm}\mathrm{36.\kern2mm\ \Big(p + \frac{2}{3q}\Big)\Big(p - \frac{2}{3q}\Big) } $$

[ A 36. ]

$$ \hspace*{6 mm}\mathrm{37.\kern2mm\ \Big(x - \frac{3y}{5z}\Big)\Big(x + \frac{3y}{5z}\Big) } $$

[ A 37. ]

$$ \hspace*{6 mm}\mathrm{38.\kern2mm\ \Big(\frac{a}{2} + \frac{2b}{3}\Big)\Big(\frac{a}{2} - \frac{2b}{3}\Big) } $$

[ A 38. ]

$$ \hspace*{6 mm}\mathrm{39.\kern2mm\ \Big(\frac{2p}{3q} + \frac{5a}{7b}\Big)\Big(\frac{2p}{3q} - \frac{5a}{7b}\Big) } $$

[ A 39. ]

$$ \hspace*{6 mm}\mathrm{40.\kern2mm\ \Big(\frac{3ab}{5cd} + \frac{2pq}{3rs}\Big)\Big(\frac{3ab}{5cd} - \frac{2pq}{3rs}\Big) } $$

[ A 40. ]

Question 1
Determine the following products :

$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ (a + b)(a - b) } $$