Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^{4}+264b^2y+144y^2\)
2. \(196a^2-364a+169\)
3. \(-100p^2+121\)
4. \(121-64p^{12}\)
5. \(a^2+30a+225\)
6. \(4a^2-121\)
7. \(x^2+20x+100\)
8. \(81-100q^{8}\)
9. \(4b^2-225\)
10. \(9-196s^{12}\)
11. \(196a^{4}+28a^2q+1q^2\)
12. \(169a^2+130a+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^{4}+264b^2y+144y^2=(11b^2+12y)^2\)
2. \(196a^2-364a+169=(14a-13)^2\)
3. \(-100p^2+121=(11-10p)(11+10p)\)
4. \(121-64p^{12}=(11-8p^6)(11+8p^6)\)
5. \(a^2+30a+225=(a+15)^2\)
6. \(4a^2-121=(2a+11)(2a-11)\)
7. \(x^2+20x+100=(x+10)^2\)
8. \(81-100q^{8}=(9-10q^4)(9+10q^4)\)
9. \(4b^2-225=(2b+15)(2b-15)\)
10. \(9-196s^{12}=(3-14s^6)(3+14s^6)\)
11. \(196a^{4}+28a^2q+1q^2=(14a^2+q)^2\)
12. \(169a^2+130a+25=(13a+5)^2\)