Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-16x+64\)
2. \(q^2+28q+196\)
3. \(169-100y^{12}\)
4. \(1-144q^{12}\)
5. \(256q^{6}-81\)
6. \(81b^2+180b+100\)
7. \(121b^2+154b+49\)
8. \(121-16q^{6}\)
9. \(-64s^2+81\)
10. \(9s^2+12s+4\)
11. \(q^2-169\)
12. \(x^2-20x+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-16x+64=(x-8)^2\)
2. \(q^2+28q+196=(q+14)^2\)
3. \(169-100y^{12}=(13-10y^6)(13+10y^6)\)
4. \(1-144q^{12}=(1-12q^6)(1+12q^6)\)
5. \(256q^{6}-81=(16q^3+9)(16q^3-9)\)
6. \(81b^2+180b+100=(9b+10)^2\)
7. \(121b^2+154b+49=(11b+7)^2\)
8. \(121-16q^{6}=(11-4q^3)(11+4q^3)\)
9. \(-64s^2+81=(9-8s)(9+8s)\)
10. \(9s^2+12s+4=(3s+2)^2\)
11. \(q^2-169=(q-13)(q+13)\)
12. \(x^2-20x+100=(x-10)^2\)