Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225q^2-420q+196\)
2. \(121y^2-144a^{8}\)
3. \(256a^{6}-160a^3p+25p^2\)
4. \(49b^2-182b+169\)
5. \(144x^{4}+120x^2+25\)
6. \(-25s^2+121\)
7. \(196a^{6}+28a^3+1\)
8. \(x^2+30x+225\)
9. \(144b^{10}-169\)
10. \(81a^{10}-234a^5s+169s^2\)
11. \(144a^{16}-169p^2\)
12. \(121-81y^{12}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225q^2-420q+196=(15q-14)^2\)
2. \(121y^2-144a^{8}=(11y-12a^4)(11y+12a^4)\)
3. \(256a^{6}-160a^3p+25p^2=(16a^3-5p)^2\)
4. \(49b^2-182b+169=(7b-13)^2\)
5. \(144x^{4}+120x^2+25=(12x^2+5)^2\)
6. \(-25s^2+121=(11-5s)(11+5s)\)
7. \(196a^{6}+28a^3+1=(14a^3+1)^2\)
8. \(x^2+30x+225=(x+15)^2\)
9. \(144b^{10}-169=(12b^5+13)(12b^5-13)\)
10. \(81a^{10}-234a^5s+169s^2=(9a^5-13s)^2\)
11. \(144a^{16}-169p^2=(12a^8+13p)(12a^8-13p)\)
12. \(121-81y^{12}=(11-9y^6)(11+9y^6)\)