Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+2y+1\)
2. \(16s^{10}-56s^5x+49x^2\)
3. \(4b^{10}+36b^5x+81x^2\)
4. \(144q^2-b^{12}\)
5. \(p^2-121\)
6. \(q^2-4\)
7. \(196b^{8}+364b^4p+169p^2\)
8. \(225a^{6}-210a^3b+49b^2\)
9. \(a^2+24a+144\)
10. \(x^2-196\)
11. \(s^2-36\)
12. \(121b^{4}-44b^2+4\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+2y+1=(y+1)^2\)
2. \(16s^{10}-56s^5x+49x^2=(4s^5-7x)^2\)
3. \(4b^{10}+36b^5x+81x^2=(2b^5+9x)^2\)
4. \(144q^2-b^{12}=(12q-b^6)(12q+b^6)\)
5. \(p^2-121=(p+11)(p-11)\)
6. \(q^2-4=(q-2)(q+2)\)
7. \(196b^{8}+364b^4p+169p^2=(14b^4+13p)^2\)
8. \(225a^{6}-210a^3b+49b^2=(15a^3-7b)^2\)
9. \(a^2+24a+144=(a+12)^2\)
10. \(x^2-196=(x+14)(x-14)\)
11. \(s^2-36=(s-6)(s+6)\)
12. \(121b^{4}-44b^2+4=(11b^2-2)^2\)