Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-169b^2+1\)
2. \(4p^2-169\)
3. \(196q^{10}+28q^5x+1x^2\)
4. \(1-25x^{6}\)
5. \(196s^{10}-25x^2\)
6. \(144-25a^{16}\)
7. \(144s^{10}+24s^5y+1y^2\)
8. \(121x^{16}-196\)
9. \(225x^{6}-330x^3+121\)
10. \(16y^{14}-1\)
11. \(256s^2-288s+81\)
12. \(y^2-64\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-169b^2+1=(1-13b)(1+13b)\)
2. \(4p^2-169=(2p+13)(2p-13)\)
3. \(196q^{10}+28q^5x+1x^2=(14q^5+x)^2\)
4. \(1-25x^{6}=(1-5x^3)(1+5x^3)\)
5. \(196s^{10}-25x^2=(14s^5+5x)(14s^5-5x)\)
6. \(144-25a^{16}=(12-5a^8)(12+5a^8)\)
7. \(144s^{10}+24s^5y+1y^2=(12s^5+y)^2\)
8. \(121x^{16}-196=(11x^8+14)(11x^8-14)\)
9. \(225x^{6}-330x^3+121=(15x^3-11)^2\)
10. \(16y^{14}-1=(4y^7+1)(4y^7-1)\)
11. \(256s^2-288s+81=(16s-9)^2\)
12. \(y^2-64=(y+8)(y-8)\)