Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-64\)
2. \(100p^{10}+180p^5y+81y^2\)
3. \(-169b^2+196\)
4. \(144s^{10}+24s^5+1\)
5. \(4a^{6}+60a^3s+225s^2\)
6. \(100p^{8}-260p^4+169\)
7. \(196p^{6}+28p^3+1\)
8. \(225p^{8}+30p^4s+1s^2\)
9. \(16p^2-49a^{10}\)
10. \(256q^{8}-160q^4s+25s^2\)
11. \(b^2-225\)
12. \(a^2+10a+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-64=(x+8)(x-8)\)
2. \(100p^{10}+180p^5y+81y^2=(10p^5+9y)^2\)
3. \(-169b^2+196=(14-13b)(14+13b)\)
4. \(144s^{10}+24s^5+1=(12s^5+1)^2\)
5. \(4a^{6}+60a^3s+225s^2=(2a^3+15s)^2\)
6. \(100p^{8}-260p^4+169=(10p^4-13)^2\)
7. \(196p^{6}+28p^3+1=(14p^3+1)^2\)
8. \(225p^{8}+30p^4s+1s^2=(15p^4+s)^2\)
9. \(16p^2-49a^{10}=(4p-7a^5)(4p+7a^5)\)
10. \(256q^{8}-160q^4s+25s^2=(16q^4-5s)^2\)
11. \(b^2-225=(b+15)(b-15)\)
12. \(a^2+10a+25=(a+5)^2\)