Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+12a+36\)
2. \(121b^2-144\)
3. \(4y^2-225p^{6}\)
4. \(64a^{10}-80a^5y+25y^2\)
5. \(121s^{10}-220s^5+100\)
6. \(169s^{4}+286s^2x+121x^2\)
7. \(y^2-2y+1\)
8. \(256b^{6}-225\)
9. \(100x^{10}-1\)
10. \(36p^{8}+12p^4x+1x^2\)
11. \(100y^2+60y+9\)
12. \(225s^{8}+390s^4+169\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+12a+36=(a+6)^2\)
2. \(121b^2-144=(11b+12)(11b-12)\)
3. \(4y^2-225p^{6}=(2y-15p^3)(2y+15p^3)\)
4. \(64a^{10}-80a^5y+25y^2=(8a^5-5y)^2\)
5. \(121s^{10}-220s^5+100=(11s^5-10)^2\)
6. \(169s^{4}+286s^2x+121x^2=(13s^2+11x)^2\)
7. \(y^2-2y+1=(y-1)^2\)
8. \(256b^{6}-225=(16b^3+15)(16b^3-15)\)
9. \(100x^{10}-1=(10x^5+1)(10x^5-1)\)
10. \(36p^{8}+12p^4x+1x^2=(6p^4+x)^2\)
11. \(100y^2+60y+9=(10y+3)^2\)
12. \(225s^{8}+390s^4+169=(15s^4+13)^2\)