Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-4s^{12}\)
2. \(225q^{6}+60q^3y+4y^2\)
3. \(256y^{6}-121\)
4. \(81a^2-169\)
5. \(x^2-26x+169\)
6. \(p^2+18p+81\)
7. \(p^2-18p+81\)
8. \(81q^{4}-169s^2\)
9. \(121-196x^{4}\)
10. \(y^2+4y+4\)
11. \(q^2-9\)
12. \(225b^{6}+240b^3+64\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-4s^{12}=(3-2s^6)(3+2s^6)\)
2. \(225q^{6}+60q^3y+4y^2=(15q^3+2y)^2\)
3. \(256y^{6}-121=(16y^3+11)(16y^3-11)\)
4. \(81a^2-169=(9a+13)(9a-13)\)
5. \(x^2-26x+169=(x-13)^2\)
6. \(p^2+18p+81=(p+9)^2\)
7. \(p^2-18p+81=(p-9)^2\)
8. \(81q^{4}-169s^2=(9q^2+13s)(9q^2-13s)\)
9. \(121-196x^{4}=(11-14x^2)(11+14x^2)\)
10. \(y^2+4y+4=(y+2)^2\)
11. \(q^2-9=(q+3)(q-3)\)
12. \(225b^{6}+240b^3+64=(15b^3+8)^2\)