Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100b^2-260b+169\)
2. \(256b^{10}-480b^5s+225s^2\)
3. \(16s^{8}+40s^4+25\)
4. \(s^2+12s+36\)
5. \(169a^{8}-16s^2\)
6. \(4a^{10}-121s^2\)
7. \(64q^2-240q+225\)
8. \(100a^{10}-260a^5q+169q^2\)
9. \(a^2-121\)
10. \(81-16x^{4}\)
11. \(9s^{4}+84s^2+196\)
12. \(x^2+14x+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100b^2-260b+169=(10b-13)^2\)
2. \(256b^{10}-480b^5s+225s^2=(16b^5-15s)^2\)
3. \(16s^{8}+40s^4+25=(4s^4+5)^2\)
4. \(s^2+12s+36=(s+6)^2\)
5. \(169a^{8}-16s^2=(13a^4+4s)(13a^4-4s)\)
6. \(4a^{10}-121s^2=(2a^5+11s)(2a^5-11s)\)
7. \(64q^2-240q+225=(8q-15)^2\)
8. \(100a^{10}-260a^5q+169q^2=(10a^5-13q)^2\)
9. \(a^2-121=(a+11)(a-11)\)
10. \(81-16x^{4}=(9-4x^2)(9+4x^2)\)
11. \(9s^{4}+84s^2+196=(3s^2+14)^2\)
12. \(x^2+14x+49=(x+7)^2\)