Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100x^2+20x+1\)
2. \(169a^{16}-144b^2\)
3. \(s^2+2s+1\)
4. \(q^2-36\)
5. \(-25q^2+49\)
6. \(16b^{10}-24b^5+9\)
7. \(121-36p^{6}\)
8. \(25s^{6}-121y^2\)
9. \(121b^{6}-196y^2\)
10. \(49-64p^{14}\)
11. \(196b^2-225\)
12. \(x^2+22x+121\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100x^2+20x+1=(10x+1)^2\)
2. \(169a^{16}-144b^2=(13a^8+12b)(13a^8-12b)\)
3. \(s^2+2s+1=(s+1)^2\)
4. \(q^2-36=(q+6)(q-6)\)
5. \(-25q^2+49=(7-5q)(7+5q)\)
6. \(16b^{10}-24b^5+9=(4b^5-3)^2\)
7. \(121-36p^{6}=(11-6p^3)(11+6p^3)\)
8. \(25s^{6}-121y^2=(5s^3+11y)(5s^3-11y)\)
9. \(121b^{6}-196y^2=(11b^3+14y)(11b^3-14y)\)
10. \(49-64p^{14}=(7-8p^7)(7+8p^7)\)
11. \(196b^2-225=(14b+15)(14b-15)\)
12. \(x^2+22x+121=(x+11)^2\)