Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-16q^2+81\)
2. \(x^2-16\)
3. \(256x^2-169\)
4. \(225x^{4}+330x^2+121\)
5. \(225b^2+420b+196\)
6. \(121s^{10}-49x^2\)
7. \(4p^{6}+4p^3s+1s^2\)
8. \(a^2-100\)
9. \(1-121a^{10}\)
10. \(81y^2-196x^{8}\)
11. \(25a^{8}-16\)
12. \(121p^2-220p+100\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-16q^2+81=(9-4q)(9+4q)\)
2. \(x^2-16=(x-4)(x+4)\)
3. \(256x^2-169=(16x+13)(16x-13)\)
4. \(225x^{4}+330x^2+121=(15x^2+11)^2\)
5. \(225b^2+420b+196=(15b+14)^2\)
6. \(121s^{10}-49x^2=(11s^5+7x)(11s^5-7x)\)
7. \(4p^{6}+4p^3s+1s^2=(2p^3+s)^2\)
8. \(a^2-100=(a+10)(a-10)\)
9. \(1-121a^{10}=(1-11a^5)(1+11a^5)\)
10. \(81y^2-196x^{8}=(9y-14x^4)(9y+14x^4)\)
11. \(25a^{8}-16=(5a^4+4)(5a^4-4)\)
12. \(121p^2-220p+100=(11p-10)^2\)