Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100s^{8}+260s^4+169\)
2. \(4s^2-1\)
3. \(q^2-121\)
4. \(s^2+10s+25\)
5. \(q^2-18q+81\)
6. \(b^2-225\)
7. \(s^2-81\)
8. \(q^2-4\)
9. \(64b^2-208b+169\)
10. \(144y^2-25\)
11. \(-100y^2+169\)
12. \(x^2-30x+225\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100s^{8}+260s^4+169=(10s^4+13)^2\)
2. \(4s^2-1=(2s+1)(2s-1)\)
3. \(q^2-121=(q+11)(q-11)\)
4. \(s^2+10s+25=(s+5)^2\)
5. \(q^2-18q+81=(q-9)^2\)
6. \(b^2-225=(b+15)(b-15)\)
7. \(s^2-81=(s+9)(s-9)\)
8. \(q^2-4=(q+2)(q-2)\)
9. \(64b^2-208b+169=(8b-13)^2\)
10. \(144y^2-25=(12y+5)(12y-5)\)
11. \(-100y^2+169=(13-10y)(13+10y)\)
12. \(x^2-30x+225=(x-15)^2\)