Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169y^{10}+182y^5+49\)
2. \(196s^{10}-9\)
3. \(64b^2+16b+1\)
4. \(s^2-144\)
5. \(81b^{10}-49p^2\)
6. \(a^2-12a+36\)
7. \(b^2+26b+169\)
8. \(q^2-8q+16\)
9. \(-144x^2+25\)
10. \(225x^2+420x+196\)
11. \(225x^2-1\)
12. \(169-225a^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169y^{10}+182y^5+49=(13y^5+7)^2\)
2. \(196s^{10}-9=(14s^5+3)(14s^5-3)\)
3. \(64b^2+16b+1=(8b+1)^2\)
4. \(s^2-144=(s+12)(s-12)\)
5. \(81b^{10}-49p^2=(9b^5+7p)(9b^5-7p)\)
6. \(a^2-12a+36=(a-6)^2\)
7. \(b^2+26b+169=(b+13)^2\)
8. \(q^2-8q+16=(q-4)^2\)
9. \(-144x^2+25=(5-12x)(5+12x)\)
10. \(225x^2+420x+196=(15x+14)^2\)
11. \(225x^2-1=(15x+1)(15x-1)\)
12. \(169-225a^{10}=(13-15a^5)(13+15a^5)\)