Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-28p+196\)
2. \(s^2-169\)
3. \(144s^2-1\)
4. \(64q^2-121b^{6}\)
5. \(144p^{10}-168p^5+49\)
6. \(b^2-36\)
7. \(256y^{4}+32y^2+1\)
8. \(81a^{8}+18a^4y+1y^2\)
9. \(9b^2-12b+4\)
10. \(196q^2-a^{6}\)
11. \(100p^{4}+20p^2s+1s^2\)
12. \(p^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-28p+196=(p-14)^2\)
2. \(s^2-169=(s+13)(s-13)\)
3. \(144s^2-1=(12s+1)(12s-1)\)
4. \(64q^2-121b^{6}=(8q-11b^3)(8q+11b^3)\)
5. \(144p^{10}-168p^5+49=(12p^5-7)^2\)
6. \(b^2-36=(b-6)(b+6)\)
7. \(256y^{4}+32y^2+1=(16y^2+1)^2\)
8. \(81a^{8}+18a^4y+1y^2=(9a^4+y)^2\)
9. \(9b^2-12b+4=(3b-2)^2\)
10. \(196q^2-a^{6}=(14q-a^3)(14q+a^3)\)
11. \(100p^{4}+20p^2s+1s^2=(10p^2+s)^2\)
12. \(p^2-25=(p+5)(p-5)\)