WISKUNDE
Graad 10
NOG OEFENINGE
Die verskil van twee vierkante.
Vraag 1
Bepaal die volgende produkte :
$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ (a + b)(a - b) } $$
[ Antwoord 1. ]
$$ \hspace*{6 mm}\mathrm{2.\kern2mm\ (m + n)(m - n) } $$
[ Antwoord 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. ]
Vraag 1
Bepaal die volgende produkte :
$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ (a + b)(a - b) } $$
[ Antwoord 1. ]
$$ \hspace*{6 mm}\mathrm{3.\kern2mm\ (p + q)(p - q) } $$
[ A 3. ]
$$ \hspace*{6 mm}\mathrm{5.\kern2mm\ (a + 1)(a - 1) } $$
[ A 5. ]
$$ \hspace*{6 mm}\mathrm{7.\kern2mm\ (c - 3)(c + 3) } $$
[ A 7. ]
$$ \hspace*{6 mm}\mathrm{9.\kern2mm\ (f - 9)(f + 9) } $$
[ A 9. ]
$$ \hspace*{6 mm}\mathrm{11.\kern2mm\ (m - 14)(m + 14) } $$
[ A 11. ]
$$ \hspace*{6 mm}\mathrm{13.\kern2mm\ \Big(p - \frac{1}{2}\Big)\Big(p + \frac{1}{2}\Big) } $$
[ A 13. ]
$$ \hspace*{6 mm}\mathrm{15.\kern2mm\ \Big(x - \frac{1}{4} \Big)\Big(x + \frac{1}{4} \Big) } $$
[ A 15. ]
$$ \hspace*{6 mm}\mathrm{17.\kern2mm\ \Big(z - \frac{3}{2} \Big)\Big(z + \frac{3}{2} \Big) } $$
[ A 17. ]
$$ \hspace*{6 mm}\mathrm{19.\kern2mm\ (x - 0,1 )(x + 0,1 ) } $$
[ A 19. ]
$$ \hspace*{6 mm}\mathrm{21.\kern2mm\ (z - 0,625 )(z + 0,625 ) } $$
[ A 21. ]
$$ \hspace*{6 mm}\mathrm{23.\kern2mm\ (2b - 1)(2b + 1) } $$
[ A 23. ]
$$ \hspace*{6 mm}\mathrm{25.\kern2mm\ (4m - 7)(4m + 7) } $$
[ A 25. ]
$$ \hspace*{6 mm}\mathrm{27.\kern2mm\ (a - 1,1)(a + 1,1) } $$
[ A 27. ]
$$ \hspace*{6 mm}\mathrm{29.\kern2mm\ (3b + 0,2)(3b - 0,2) } $$
[ A 29. ]
$$ \hspace*{6 mm}\mathrm{31.\kern2mm\ (0,4m - 1,5n)(0,4m + 1,5n) } $$
[ A 31. ]
$$ \hspace*{6 mm}\mathrm{33.\kern2mm\ (13m - 17n)(13m + 17n) } $$
[ A 33. ]
$$ \hspace*{6 mm}\mathrm{35.\kern2mm\ (a + \frac{1}{c})(a - \frac{1}{c}) } $$
[ A 35. ]
$$ \hspace*{6 mm}\mathrm{37.\kern2mm\ \Big(x - \frac{3y}{5z}\Big)\Big(x + \frac{3y}{5z}\Big) } $$
[ A 37. ]
$$ \hspace*{6 mm}\mathrm{39.\kern2mm\ \Big(\frac{2p}{3q} + \frac{5a}{7b}\Big)\Big(\frac{2p}{3q} - \frac{5a}{7b}\Big) } $$
[ A 39. ]
$$ \hspace*{6 mm}\mathrm{2.\kern2mm\ (m + n)(m - n) } $$
[ Antwoord 2. ]
$$ \hspace*{6 mm}\mathrm{4.\kern2mm\ (x - y)(x + y) } $$
[ A 4. ]
$$ \hspace*{6 mm}\mathrm{6.\kern2mm\ (b + 2)(b - 2) } $$
[ A 6. ]
$$ \hspace*{6 mm}\mathrm{8.\kern2mm\ (d - 5)(d + 5) } $$
[ A 8. ]
$$ \hspace*{6 mm}\mathrm{10.\kern2mm\ (h - 13)(h + 13) } $$
[ A 10. ]
$$ \hspace*{6 mm}\mathrm{12.\kern2mm\ (n - 15)(n + 15) } $$
[ A 12. ]
$$ \hspace*{6 mm}\mathrm{14.\kern2mm\ \Big(q + \frac{1}{3}\Big)\Big(q - \frac{1}{3}\Big) } $$
[ A 14. ]
$$ \hspace*{6 mm}\mathrm{16.\kern2mm\ \Big(y - \frac{2}{5} \Big)\Big(y + \frac{2}{5} \Big) } $$
[ A 16. ]
$$ \hspace*{6 mm}\mathrm{18.\kern2mm\ \Big(a - \frac{7}{8} \Big)\Big(a + \frac{7}{8} \Big) } $$
[ A 18. ]
$$ \hspace*{6 mm}\mathrm{20.\kern2mm\ (y - 0,2)(y + 0,2) } $$
[ A 20. ]
$$ \hspace*{6 mm}\mathrm{22.\kern2mm\ (n + 0,75)(n - 0,75) } $$
[ A 22. ]
$$ \hspace*{6 mm}\mathrm{24.\kern2mm\ (5c - 3)(5c + 3) } $$
[ A 24. ]
$$ \hspace*{6 mm}\mathrm{26.\kern2mm\ (3n - 2p)(3n + 2p) } $$
[ A 26. ]
$$ \hspace*{6 mm}\mathrm{28.\kern2mm\ (2a - 0,3)(2a + 0,3) } $$
[ A 28. ]
$$ \hspace*{6 mm}\mathrm{30.\kern2mm\ (2c - 0,5f)(2c + 0,5f) } $$
[ A 30. ]
$$ \hspace*{6 mm}\mathrm{32.\kern2mm\ (2,5 - 1,5n)(2,5 + 1,5n) } $$
[ A 32. ]
$$ \hspace*{6 mm}\mathrm{34.\kern2mm\ (17a + 8b)(17a - 8b) } $$
[ A 34. ]
$$ \hspace*{6 mm}\mathrm{36.\kern2mm\ \Big(p + \frac{2}{3q}\Big)\Big(p - \frac{2}{3q}\Big) } $$
[ A 36. ]
$$ \hspace*{6 mm}\mathrm{38.\kern2mm\ \Big(\frac{a}{2} + \frac{2b}{3}\Big)\Big(\frac{a}{2} - \frac{2b}{3}\Big) } $$
[ A 38. ]
$$ \hspace*{6 mm}\mathrm{40.\kern2mm\ \Big(\frac{3ab}{5cd} + \frac{2pq}{3rs}\Big)\Big(\frac{3ab}{5cd} - \frac{2pq}{3rs}\Big) } $$
[ A 40. ]
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