Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169a^{12}-49b^2\)
2. \(81b^2+36b+4\)
3. \(a^2+14a+49\)
4. \(25x^2-36q^{8}\)
5. \(q^2-225\)
6. \(a^2-81\)
7. \(9x^2-q^{16}\)
8. \(144b^2-25\)
9. \(36b^{4}+156b^2p+169p^2\)
10. \(a^2-36\)
11. \(169b^{4}-9q^2\)
12. \(a^2-4\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169a^{12}-49b^2=(13a^6+7b)(13a^6-7b)\)
2. \(81b^2+36b+4=(9b+2)^2\)
3. \(a^2+14a+49=(a+7)^2\)
4. \(25x^2-36q^{8}=(5x-6q^4)(5x+6q^4)\)
5. \(q^2-225=(q-15)(q+15)\)
6. \(a^2-81=(a-9)(a+9)\)
7. \(9x^2-q^{16}=(3x-q^8)(3x+q^8)\)
8. \(144b^2-25=(12b+5)(12b-5)\)
9. \(36b^{4}+156b^2p+169p^2=(6b^2+13p)^2\)
10. \(a^2-36=(a+6)(a-6)\)
11. \(169b^{4}-9q^2=(13b^2+3q)(13b^2-3q)\)
12. \(a^2-4=(a+2)(a-2)\)