Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+22a+121\)
2. \(4s^{8}+4s^4y+1y^2\)
3. \(169a^{6}-52a^3b+4b^2\)
4. \(144a^2-168a+49\)
5. \(q^2-12q+36\)
6. \(9b^{10}-84b^5y+196y^2\)
7. \(9s^{6}-48s^3y+64y^2\)
8. \(-121x^2+169\)
9. \(25s^2-121\)
10. \(25s^2-144q^{12}\)
11. \(y^2+8y+16\)
12. \(225x^2+30x+1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+22a+121=(a+11)^2\)
2. \(4s^{8}+4s^4y+1y^2=(2s^4+y)^2\)
3. \(169a^{6}-52a^3b+4b^2=(13a^3-2b)^2\)
4. \(144a^2-168a+49=(12a-7)^2\)
5. \(q^2-12q+36=(q-6)^2\)
6. \(9b^{10}-84b^5y+196y^2=(3b^5-14y)^2\)
7. \(9s^{6}-48s^3y+64y^2=(3s^3-8y)^2\)
8. \(-121x^2+169=(13-11x)(13+11x)\)
9. \(25s^2-121=(5s+11)(5s-11)\)
10. \(25s^2-144q^{12}=(5s-12q^6)(5s+12q^6)\)
11. \(y^2+8y+16=(y+4)^2\)
12. \(225x^2+30x+1=(15x+1)^2\)