Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225-169p^{12}\)
2. \(256b^2-169\)
3. \(225b^2-49\)
4. \(144b^{10}-168b^5q+49q^2\)
5. \(s^2+26s+169\)
6. \(a^2-49\)
7. \(16a^{6}-24a^3q+9q^2\)
8. \(81-256x^{10}\)
9. \(p^2-169\)
10. \(81a^2-234a+169\)
11. \(196y^2+140y+25\)
12. \(s^2+28s+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225-169p^{12}=(15-13p^6)(15+13p^6)\)
2. \(256b^2-169=(16b+13)(16b-13)\)
3. \(225b^2-49=(15b+7)(15b-7)\)
4. \(144b^{10}-168b^5q+49q^2=(12b^5-7q)^2\)
5. \(s^2+26s+169=(s+13)^2\)
6. \(a^2-49=(a-7)(a+7)\)
7. \(16a^{6}-24a^3q+9q^2=(4a^3-3q)^2\)
8. \(81-256x^{10}=(9-16x^5)(9+16x^5)\)
9. \(p^2-169=(p-13)(p+13)\)
10. \(81a^2-234a+169=(9a-13)^2\)
11. \(196y^2+140y+25=(14y+5)^2\)
12. \(s^2+28s+196=(s+14)^2\)