Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121p^2-4b^{6}\)
2. \(s^2-28s+196\)
3. \(25p^{6}-140p^3+196\)
4. \(a^2-10a+25\)
5. \(y^2+16y+64\)
6. \(-25q^2+4\)
7. \(-25b^2+121\)
8. \(-225q^2+121\)
9. \(100y^2-49\)
10. \(49y^2-64\)
11. \(81b^{12}-169\)
12. \(100s^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121p^2-4b^{6}=(11p-2b^3)(11p+2b^3)\)
2. \(s^2-28s+196=(s-14)^2\)
3. \(25p^{6}-140p^3+196=(5p^3-14)^2\)
4. \(a^2-10a+25=(a-5)^2\)
5. \(y^2+16y+64=(y+8)^2\)
6. \(-25q^2+4=(2-5q)(2+5q)\)
7. \(-25b^2+121=(11-5b)(11+5b)\)
8. \(-225q^2+121=(11-15q)(11+15q)\)
9. \(100y^2-49=(10y+7)(10y-7)\)
10. \(49y^2-64=(7y+8)(7y-8)\)
11. \(81b^{12}-169=(9b^6+13)(9b^6-13)\)
12. \(100s^2-9=(10s+3)(10s-3)\)