Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-28p+196\)
2. \(144a^{4}+24a^2s+1s^2\)
3. \(49y^2-100b^{16}\)
4. \(9q^{12}-169s^2\)
5. \(100a^2-260a+169\)
6. \(144p^2-1\)
7. \(225s^2+390s+169\)
8. \(81s^2-234s+169\)
9. \(121s^2-110s+25\)
10. \(p^2+18p+81\)
11. \(256y^2-25\)
12. \(4s^{12}-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-28p+196=(p-14)^2\)
2. \(144a^{4}+24a^2s+1s^2=(12a^2+s)^2\)
3. \(49y^2-100b^{16}=(7y-10b^8)(7y+10b^8)\)
4. \(9q^{12}-169s^2=(3q^6+13s)(3q^6-13s)\)
5. \(100a^2-260a+169=(10a-13)^2\)
6. \(144p^2-1=(12p+1)(12p-1)\)
7. \(225s^2+390s+169=(15s+13)^2\)
8. \(81s^2-234s+169=(9s-13)^2\)
9. \(121s^2-110s+25=(11s-5)^2\)
10. \(p^2+18p+81=(p+9)^2\)
11. \(256y^2-25=(16y+5)(16y-5)\)
12. \(4s^{12}-49=(2s^6+7)(2s^6-7)\)