Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9p^{8}-66p^4s+121s^2\)
2. \(p^2-121\)
3. \(49x^2-169s^{8}\)
4. \(s^2+26s+169\)
5. \(y^2+16y+64\)
6. \(36b^2-132b+121\)
7. \(16y^{4}+104y^2+169\)
8. \(196x^{8}+252x^4+81\)
9. \(-256x^2+121\)
10. \(q^2-16\)
11. \(36p^2-25b^{10}\)
12. \(y^2+10y+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9p^{8}-66p^4s+121s^2=(3p^4-11s)^2\)
2. \(p^2-121=(p+11)(p-11)\)
3. \(49x^2-169s^{8}=(7x-13s^4)(7x+13s^4)\)
4. \(s^2+26s+169=(s+13)^2\)
5. \(y^2+16y+64=(y+8)^2\)
6. \(36b^2-132b+121=(6b-11)^2\)
7. \(16y^{4}+104y^2+169=(4y^2+13)^2\)
8. \(196x^{8}+252x^4+81=(14x^4+9)^2\)
9. \(-256x^2+121=(11-16x)(11+16x)\)
10. \(q^2-16=(q+4)(q-4)\)
11. \(36p^2-25b^{10}=(6p-5b^5)(6p+5b^5)\)
12. \(y^2+10y+25=(y+5)^2\)