Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(x^2-16x+64\)
- \(q^2+28q+196\)
- \(169-100y^{12}\)
- \(1-144q^{12}\)
- \(256q^{6}-81\)
- \(81b^2+180b+100\)
- \(121b^2+154b+49\)
- \(121-16q^{6}\)
- \(-64s^2+81\)
- \(9s^2+12s+4\)
- \(q^2-169\)
- \(x^2-20x+100\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(x^2-16x+64=(x-8)^2\)
- \(q^2+28q+196=(q+14)^2\)
- \(169-100y^{12}=(13-10y^6)(13+10y^6)\)
- \(1-144q^{12}=(1-12q^6)(1+12q^6)\)
- \(256q^{6}-81=(16q^3+9)(16q^3-9)\)
- \(81b^2+180b+100=(9b+10)^2\)
- \(121b^2+154b+49=(11b+7)^2\)
- \(121-16q^{6}=(11-4q^3)(11+4q^3)\)
- \(-64s^2+81=(9-8s)(9+8s)\)
- \(9s^2+12s+4=(3s+2)^2\)
- \(q^2-169=(q-13)(q+13)\)
- \(x^2-20x+100=(x-10)^2\)