Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9a^2-84a+196\)
2. \(121a^{6}-286a^3+169\)
3. \(121y^2-100s^{14}\)
4. \(169p^2-156p+36\)
5. \(-196a^2+121\)
6. \(a^2-64\)
7. \(-81s^2+196\)
8. \(121-225a^{10}\)
9. \(121b^2-25a^{12}\)
10. \(4p^{10}+4p^5s+1s^2\)
11. \(225b^{6}-420b^3p+196p^2\)
12. \(196q^{6}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9a^2-84a+196=(3a-14)^2\)
2. \(121a^{6}-286a^3+169=(11a^3-13)^2\)
3. \(121y^2-100s^{14}=(11y-10s^7)(11y+10s^7)\)
4. \(169p^2-156p+36=(13p-6)^2\)
5. \(-196a^2+121=(11-14a)(11+14a)\)
6. \(a^2-64=(a+8)(a-8)\)
7. \(-81s^2+196=(14-9s)(14+9s)\)
8. \(121-225a^{10}=(11-15a^5)(11+15a^5)\)
9. \(121b^2-25a^{12}=(11b-5a^6)(11b+5a^6)\)
10. \(4p^{10}+4p^5s+1s^2=(2p^5+s)^2\)
11. \(225b^{6}-420b^3p+196p^2=(15b^3-14p)^2\)
12. \(196q^{6}-1=(14q^3+1)(14q^3-1)\)