Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^2+60q+25\)
2. \(25y^2-144b^{10}\)
3. \(49p^{4}+112p^2y+64y^2\)
4. \(196a^{4}-121s^2\)
5. \(225b^{6}-210b^3+49\)
6. \(144a^{10}+264a^5y+121y^2\)
7. \(b^2-36\)
8. \(49-100x^{16}\)
9. \(81p^{14}-4q^2\)
10. \(4b^2+36b+81\)
11. \(144a^{6}+120a^3+25\)
12. \(81y^{4}-169\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^2+60q+25=(6q+5)^2\)
2. \(25y^2-144b^{10}=(5y-12b^5)(5y+12b^5)\)
3. \(49p^{4}+112p^2y+64y^2=(7p^2+8y)^2\)
4. \(196a^{4}-121s^2=(14a^2+11s)(14a^2-11s)\)
5. \(225b^{6}-210b^3+49=(15b^3-7)^2\)
6. \(144a^{10}+264a^5y+121y^2=(12a^5+11y)^2\)
7. \(b^2-36=(b+6)(b-6)\)
8. \(49-100x^{16}=(7-10x^8)(7+10x^8)\)
9. \(81p^{14}-4q^2=(9p^7+2q)(9p^7-2q)\)
10. \(4b^2+36b+81=(2b+9)^2\)
11. \(144a^{6}+120a^3+25=(12a^3+5)^2\)
12. \(81y^{4}-169=(9y^2+13)(9y^2-13)\)