Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-12s+36\)
2. \(81a^{4}-72a^2+16\)
3. \(q^2+24q+144\)
4. \(121y^{6}-44y^3+4\)
5. \(b^2-20b+100\)
6. \(-9a^2+1\)
7. \(49s^{4}-64\)
8. \(121q^2-36b^{14}\)
9. \(81a^{6}+18a^3b+1b^2\)
10. \(s^2+10s+25\)
11. \(196x^{6}-364x^3+169\)
12. \(121y^{6}-110y^3+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-12s+36=(s-6)^2\)
2. \(81a^{4}-72a^2+16=(9a^2-4)^2\)
3. \(q^2+24q+144=(q+12)^2\)
4. \(121y^{6}-44y^3+4=(11y^3-2)^2\)
5. \(b^2-20b+100=(b-10)^2\)
6. \(-9a^2+1=(1-3a)(1+3a)\)
7. \(49s^{4}-64=(7s^2+8)(7s^2-8)\)
8. \(121q^2-36b^{14}=(11q-6b^7)(11q+6b^7)\)
9. \(81a^{6}+18a^3b+1b^2=(9a^3+b)^2\)
10. \(s^2+10s+25=(s+5)^2\)
11. \(196x^{6}-364x^3+169=(14x^3-13)^2\)
12. \(121y^{6}-110y^3+25=(11y^3-5)^2\)