Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^{10}-120p^5s+144s^2\)
2. \(q^2-100\)
3. \(64-49s^{12}\)
4. \(16q^2-81p^{6}\)
5. \(q^2-22q+121\)
6. \(b^2-81\)
7. \(p^2-25\)
8. \(100a^2+180a+81\)
9. \(y^2-144\)
10. \(25q^{6}+140q^3x+196x^2\)
11. \(100p^2-9a^{10}\)
12. \(64q^{4}+208q^2+169\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^{10}-120p^5s+144s^2=(5p^5-12s)^2\)
2. \(q^2-100=(q+10)(q-10)\)
3. \(64-49s^{12}=(8-7s^6)(8+7s^6)\)
4. \(16q^2-81p^{6}=(4q-9p^3)(4q+9p^3)\)
5. \(q^2-22q+121=(q-11)^2\)
6. \(b^2-81=(b+9)(b-9)\)
7. \(p^2-25=(p-5)(p+5)\)
8. \(100a^2+180a+81=(10a+9)^2\)
9. \(y^2-144=(y+12)(y-12)\)
10. \(25q^{6}+140q^3x+196x^2=(5q^3+14x)^2\)
11. \(100p^2-9a^{10}=(10p-3a^5)(10p+3a^5)\)
12. \(64q^{4}+208q^2+169=(8q^2+13)^2\)