Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-16\)
2. \(y^2-1\)
3. \(p^2-121\)
4. \(4y^2-49q^{8}\)
5. \(256s^{8}-169y^2\)
6. \(49q^{10}-182q^5x+169x^2\)
7. \(q^2-1\)
8. \(225a^{10}-420a^5b+196b^2\)
9. \(64b^2+144b+81\)
10. \(121b^{6}+264b^3p+144p^2\)
11. \(9b^{8}+42b^4+49\)
12. \(16b^{12}-121\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-16=(x+4)(x-4)\)
2. \(y^2-1=(y-1)(y+1)\)
3. \(p^2-121=(p-11)(p+11)\)
4. \(4y^2-49q^{8}=(2y-7q^4)(2y+7q^4)\)
5. \(256s^{8}-169y^2=(16s^4+13y)(16s^4-13y)\)
6. \(49q^{10}-182q^5x+169x^2=(7q^5-13x)^2\)
7. \(q^2-1=(q+1)(q-1)\)
8. \(225a^{10}-420a^5b+196b^2=(15a^5-14b)^2\)
9. \(64b^2+144b+81=(8b+9)^2\)
10. \(121b^{6}+264b^3p+144p^2=(11b^3+12p)^2\)
11. \(9b^{8}+42b^4+49=(3b^4+7)^2\)
12. \(16b^{12}-121=(4b^6+11)(4b^6-11)\)