Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100p^{16}-49x^2\)
- \(100q^2-49b^{4}\)
- \(169x^{12}-9\)
- \(s^2+18s+81\)
- \(9b^{8}-84b^4p+196p^2\)
- \(121a^{6}+330a^3+225\)
- \(25-4b^{14}\)
- \(144q^{8}+24q^4+1\)
- \(81x^2+18x+1\)
- \(-36x^2+121\)
- \(-9p^2+49\)
- \(144-121s^{14}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100p^{16}-49x^2=(10p^8+7x)(10p^8-7x)\)
- \(100q^2-49b^{4}=(10q-7b^2)(10q+7b^2)\)
- \(169x^{12}-9=(13x^6+3)(13x^6-3)\)
- \(s^2+18s+81=(s+9)^2\)
- \(9b^{8}-84b^4p+196p^2=(3b^4-14p)^2\)
- \(121a^{6}+330a^3+225=(11a^3+15)^2\)
- \(25-4b^{14}=(5-2b^7)(5+2b^7)\)
- \(144q^{8}+24q^4+1=(12q^4+1)^2\)
- \(81x^2+18x+1=(9x+1)^2\)
- \(-36x^2+121=(11-6x)(11+6x)\)
- \(-9p^2+49=(7-3p)(7+3p)\)
- \(144-121s^{14}=(12-11s^7)(12+11s^7)\)