Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169x^2-9a^{8}\)
2. \(-4a^2+121\)
3. \(16q^2-120q+225\)
4. \(121p^{8}+44p^4+4\)
5. \(16s^2-56s+49\)
6. \(b^2-26b+169\)
7. \(16p^{10}+24p^5s+9s^2\)
8. \(s^2-12s+36\)
9. \(121s^{6}-49y^2\)
10. \(4a^{14}-81b^2\)
11. \(4p^{12}-25\)
12. \(9a^{4}+30a^2y+25y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169x^2-9a^{8}=(13x-3a^4)(13x+3a^4)\)
2. \(-4a^2+121=(11-2a)(11+2a)\)
3. \(16q^2-120q+225=(4q-15)^2\)
4. \(121p^{8}+44p^4+4=(11p^4+2)^2\)
5. \(16s^2-56s+49=(4s-7)^2\)
6. \(b^2-26b+169=(b-13)^2\)
7. \(16p^{10}+24p^5s+9s^2=(4p^5+3s)^2\)
8. \(s^2-12s+36=(s-6)^2\)
9. \(121s^{6}-49y^2=(11s^3+7y)(11s^3-7y)\)
10. \(4a^{14}-81b^2=(2a^7+9b)(2a^7-9b)\)
11. \(4p^{12}-25=(2p^6+5)(2p^6-5)\)
12. \(9a^{4}+30a^2y+25y^2=(3a^2+5y)^2\)