Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121q^2-4a^{4}\)
2. \(x^2-16\)
3. \(256x^{6}-169y^2\)
4. \(81x^{8}+252x^4y+196y^2\)
5. \(81x^2-196q^{10}\)
6. \(a^2+18a+81\)
7. \(256p^2+32p+1\)
8. \(-169q^2+1\)
9. \(256b^{6}-49s^2\)
10. \(196x^2+28x+1\)
11. \(64b^{12}-9s^2\)
12. \(49p^2-4b^{10}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121q^2-4a^{4}=(11q-2a^2)(11q+2a^2)\)
2. \(x^2-16=(x-4)(x+4)\)
3. \(256x^{6}-169y^2=(16x^3+13y)(16x^3-13y)\)
4. \(81x^{8}+252x^4y+196y^2=(9x^4+14y)^2\)
5. \(81x^2-196q^{10}=(9x-14q^5)(9x+14q^5)\)
6. \(a^2+18a+81=(a+9)^2\)
7. \(256p^2+32p+1=(16p+1)^2\)
8. \(-169q^2+1=(1-13q)(1+13q)\)
9. \(256b^{6}-49s^2=(16b^3+7s)(16b^3-7s)\)
10. \(196x^2+28x+1=(14x+1)^2\)
11. \(64b^{12}-9s^2=(8b^6+3s)(8b^6-3s)\)
12. \(49p^2-4b^{10}=(7p-2b^5)(7p+2b^5)\)