Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100b^2-260b+169\)
- \(256b^{10}-480b^5s+225s^2\)
- \(16s^{8}+40s^4+25\)
- \(s^2+12s+36\)
- \(169a^{8}-16s^2\)
- \(4a^{10}-121s^2\)
- \(64q^2-240q+225\)
- \(100a^{10}-260a^5q+169q^2\)
- \(a^2-121\)
- \(81-16x^{4}\)
- \(9s^{4}+84s^2+196\)
- \(x^2+14x+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100b^2-260b+169=(10b-13)^2\)
- \(256b^{10}-480b^5s+225s^2=(16b^5-15s)^2\)
- \(16s^{8}+40s^4+25=(4s^4+5)^2\)
- \(s^2+12s+36=(s+6)^2\)
- \(169a^{8}-16s^2=(13a^4+4s)(13a^4-4s)\)
- \(4a^{10}-121s^2=(2a^5+11s)(2a^5-11s)\)
- \(64q^2-240q+225=(8q-15)^2\)
- \(100a^{10}-260a^5q+169q^2=(10a^5-13q)^2\)
- \(a^2-121=(a+11)(a-11)\)
- \(81-16x^{4}=(9-4x^2)(9+4x^2)\)
- \(9s^{4}+84s^2+196=(3s^2+14)^2\)
- \(x^2+14x+49=(x+7)^2\)