imath - Grade 10 exercises re. factors of a perfect square

MATHEMATICS
Grade 10
MORE EXERCISES
Factors of a perfect square.

Question 1

Factorize :

$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ a^2 + 2ab + b^2 } $$

[ Answer 1. ]

$$ \hspace*{6 mm}\mathrm{2.\kern2mm\ a^2 - 2ab + b^2 } $$

[ Answer 2. ]

$$ \hspace*{6 mm}\mathrm{3.\kern2mm\ m^2 + 2mn + n^2 } $$

[ A 3. ]

$$ \hspace*{6 mm}\mathrm{4.\kern2mm\ p^2 - 2pq + q^2 } $$

[ A 4. ]

$$ \hspace*{6 mm}\mathrm{5.\kern2mm\ x^2 + 2xy + y^2 } $$

[ A 5. ]

$$ \hspace*{6 mm}\mathrm{6.\kern2mm\ a^2 - 2am + m^2 } $$

[ A 6. ]

$$ \hspace*{6 mm}\mathrm{7.\kern2mm\ b^2 + 2bn + n^2 } $$

[ A 7. ]

$$ \hspace*{6 mm}\mathrm{8.\kern2mm\ c^2 - 2cf + f^2 } $$

[ A 8. ]

$$ \hspace*{6 mm}\mathrm{9.\kern2mm\ m^2 + 2mz + z^2 } $$

[ A 9. ]

$$ \hspace*{6 mm}\mathrm{10.\kern2mm\ a^2 - 2an + n^2 } $$

[ A 10. ]

$$ \hspace*{6 mm}\mathrm{11.\kern2mm\ a^2 + 2a + 1 } $$

[ A 11. ]

$$ \hspace*{6 mm}\mathrm{12.\kern2mm\ b^2 - 2b + 1 } $$

[ A 12. ]

$$ \hspace*{6 mm}\mathrm{13.\kern2mm\ c^2 + 4c + 4 } $$

[ A 13. ]

$$ \hspace*{6 mm}\mathrm{14.\kern2mm\ d^2 - 4d + 4 } $$

[ A 14. ]

$$ \hspace*{6 mm}\mathrm{15.\kern2mm\ c^2 + 6c + 9 } $$

[ A 15. ]

$$ \hspace*{6 mm}\mathrm{16.\kern2mm\ d^2 - 10d + 25 } $$

[ A 16. ]

$$ \hspace*{6 mm}\mathrm{17.\kern2mm\ m^2 + 10m + 25 } $$

[ A 17. ]

$$ \hspace*{6 mm}\mathrm{18.\kern2mm\ n^2 + 12n + 36 } $$

[ A 18. ]

$$ \hspace*{6 mm}\mathrm{19.\kern2mm\ p^2 - 16p + 64 } $$

[ A 19. ]

$$ \hspace*{6 mm}\mathrm{20.\kern2mm\ q^2 + 14q + 49 } $$

[ A 20. ]

$$ \hspace*{6 mm}\mathrm{21.\kern2mm\ 9x^2 - 6x + 1 } $$

[ A 21. ]

$$ \hspace*{6 mm}\mathrm{22.\kern2mm\ 4y^2 + 12y + 9 } $$

[ A 22. ]

$$ \hspace*{6 mm}\mathrm{23.\kern2mm\ 16y^2 - 40y + 25 } $$

[ A 23. ]

$$ \hspace*{6 mm}\mathrm{24.\kern2mm\ 4a^2 + 4ab + b^2 } $$

[ A 24. ]

$$ \hspace*{6 mm}\mathrm{25.\kern2mm\ 9m^2 - 6mn + n^2 } $$

[ A 25. ]

$$ \hspace*{6 mm}\mathrm{26.\kern2mm\ 4p^2 - 12pq + 9q^2 } $$

[ A 26. ]

$$ \hspace*{6 mm}\mathrm{27.\kern2mm\ 16p^2 + 24pq + 9q^2 } $$

[ A 27. ]

$$ \hspace*{6 mm}\mathrm{28.\kern2mm\ 25x^2 - 70xy + 49y^2 } $$

[ A 28. ]

$$ \hspace*{6 mm}\mathrm{29.\kern2mm\ 4x^2 - 36xy + 81y^2 } $$

[ A 29. ]

$$ \hspace*{6 mm}\mathrm{30.\kern2mm\ 9x^2 - 12xy + 4y^2 } $$

[ A 30. ]

$$ \hspace*{6 mm}\mathrm{31.\kern2mm\ c^2 - \frac{2}{5} c + \frac{1}{25} } $$

[ A 31. ]

$$ \hspace*{6 mm}\mathrm{32.\kern2mm\ b^2 + \frac{1}{2} b + \frac{1}{16} } $$

[ A 32. ]

$$ \hspace*{6 mm}\mathrm{33.\kern2mm\ d^2 + \frac{3d}{4} + \frac{9}{64} } $$

[ A 33. ]

$$ \hspace*{6 mm}\mathrm{34.\kern2mm\ a^2 - \sqrt{2}\ a + \frac{1}{2} } $$

[ A 34. ]

$$ \hspace*{6 mm}\mathrm{35.\kern2mm\ \frac{1}{16}\ - \frac{n}{2} + n^2 } $$

[ A 35. ]

$$ \hspace*{6 mm}\mathrm{36.\kern2mm\ \frac{1}{64} + \frac{p}{4} + p^2 } $$

[ A 36. ]

$$ \hspace*{6 mm}\mathrm{37.\kern2mm\ m^2 - 0,4m + 0,04 } $$

[ A 37. ]

$$ \hspace*{6 mm}\mathrm{38.\kern2mm\ 0,25 - f + f^2 } $$

[ A 38. ]

$$ \hspace*{6 mm}\mathrm{39.\kern2mm\ p^2 - 0,5p + 0,0625 } $$

[ A 39. ]

$$ \hspace*{6 mm}\mathrm{40.\kern2mm\ 0,01 + 0,2q + q^2 } $$

[ A 40. ]

$$ \hspace*{6 mm}\mathrm{41.\kern2mm\ 0,16 - 0,8x + x^2 } $$

[ A 41. ]

$$ \hspace*{6 mm}\mathrm{42.\kern2mm\ y^2 - 1,25y + 0,390625 } $$

[ A 42. ]

Question 1
Factorize :

$$ \hspace*{6 mm}\mathrm{1.\kern2mm\ a^2 + 2ab + b^2 } $$