Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256q^{4}+416q^2+169\)
2. \(64s^2-49a^{12}\)
3. \(121p^{12}-16\)
4. \(4y^{10}+4y^5+1\)
5. \(144p^{8}-264p^4s+121s^2\)
6. \(25b^2-64\)
7. \(100q^{12}-1\)
8. \(-16q^2+169\)
9. \(s^2-25\)
10. \(p^2-28p+196\)
11. \(144s^2+24s+1\)
12. \(9b^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256q^{4}+416q^2+169=(16q^2+13)^2\)
2. \(64s^2-49a^{12}=(8s-7a^6)(8s+7a^6)\)
3. \(121p^{12}-16=(11p^6+4)(11p^6-4)\)
4. \(4y^{10}+4y^5+1=(2y^5+1)^2\)
5. \(144p^{8}-264p^4s+121s^2=(12p^4-11s)^2\)
6. \(25b^2-64=(5b+8)(5b-8)\)
7. \(100q^{12}-1=(10q^6+1)(10q^6-1)\)
8. \(-16q^2+169=(13-4q)(13+4q)\)
9. \(s^2-25=(s+5)(s-5)\)
10. \(p^2-28p+196=(p-14)^2\)
11. \(144s^2+24s+1=(12s+1)^2\)
12. \(9b^2-49=(3b+7)(3b-7)\)