Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^2-104p+16\)
2. \(4y^2-9q^{4}\)
3. \(-49b^2+64\)
4. \(256b^2-169\)
5. \(a^2-16\)
6. \(a^2-196\)
7. \(256p^2+96p+9\)
8. \(196a^{4}-308a^2b+121b^2\)
9. \(121-144a^{4}\)
10. \(81y^{8}+18y^4+1\)
11. \(225-49s^{12}\)
12. \(256q^{6}-480q^3+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^2-104p+16=(13p-4)^2\)
2. \(4y^2-9q^{4}=(2y-3q^2)(2y+3q^2)\)
3. \(-49b^2+64=(8-7b)(8+7b)\)
4. \(256b^2-169=(16b+13)(16b-13)\)
5. \(a^2-16=(a+4)(a-4)\)
6. \(a^2-196=(a-14)(a+14)\)
7. \(256p^2+96p+9=(16p+3)^2\)
8. \(196a^{4}-308a^2b+121b^2=(14a^2-11b)^2\)
9. \(121-144a^{4}=(11-12a^2)(11+12a^2)\)
10. \(81y^{8}+18y^4+1=(9y^4+1)^2\)
11. \(225-49s^{12}=(15-7s^6)(15+7s^6)\)
12. \(256q^{6}-480q^3+225=(16q^3-15)^2\)