Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16q^{10}-56q^5+49\)
2. \(49-100a^{16}\)
3. \(49a^{4}+210a^2s+225s^2\)
4. \(121p^{10}-100x^2\)
5. \(81q^{4}-121x^2\)
6. \(36a^{8}-169\)
7. \(4a^{4}-25\)
8. \(144s^{10}-168s^5+49\)
9. \(s^2-144\)
10. \(16b^2-9\)
11. \(100p^{10}+60p^5s+9s^2\)
12. \(y^2-4\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16q^{10}-56q^5+49=(4q^5-7)^2\)
2. \(49-100a^{16}=(7-10a^8)(7+10a^8)\)
3. \(49a^{4}+210a^2s+225s^2=(7a^2+15s)^2\)
4. \(121p^{10}-100x^2=(11p^5+10x)(11p^5-10x)\)
5. \(81q^{4}-121x^2=(9q^2+11x)(9q^2-11x)\)
6. \(36a^{8}-169=(6a^4+13)(6a^4-13)\)
7. \(4a^{4}-25=(2a^2+5)(2a^2-5)\)
8. \(144s^{10}-168s^5+49=(12s^5-7)^2\)
9. \(s^2-144=(s+12)(s-12)\)
10. \(16b^2-9=(4b+3)(4b-3)\)
11. \(100p^{10}+60p^5s+9s^2=(10p^5+3s)^2\)
12. \(y^2-4=(y+2)(y-2)\)