Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64-169p^{10}\)
2. \(196a^{4}+252a^2p+81p^2\)
3. \(b^2-49\)
4. \(a^2-2a+1\)
5. \(196p^{12}-169s^2\)
6. \(49b^{6}-84b^3s+36s^2\)
7. \(x^2-4\)
8. \(p^2-4p+4\)
9. \(b^2+14b+49\)
10. \(64p^2-49a^{10}\)
11. \(36a^2-132a+121\)
12. \(36s^2-25p^{8}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64-169p^{10}=(8-13p^5)(8+13p^5)\)
2. \(196a^{4}+252a^2p+81p^2=(14a^2+9p)^2\)
3. \(b^2-49=(b-7)(b+7)\)
4. \(a^2-2a+1=(a-1)^2\)
5. \(196p^{12}-169s^2=(14p^6+13s)(14p^6-13s)\)
6. \(49b^{6}-84b^3s+36s^2=(7b^3-6s)^2\)
7. \(x^2-4=(x-2)(x+2)\)
8. \(p^2-4p+4=(p-2)^2\)
9. \(b^2+14b+49=(b+7)^2\)
10. \(64p^2-49a^{10}=(8p-7a^5)(8p+7a^5)\)
11. \(36a^2-132a+121=(6a-11)^2\)
12. \(36s^2-25p^{8}=(6s-5p^4)(6s+5p^4)\)