Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100q^2+220q+121\)
2. \(4y^{10}+44y^5+121\)
3. \(q^2-169\)
4. \(25x^2+110x+121\)
5. \(q^2-4q+4\)
6. \(225a^{10}+30a^5p+1p^2\)
7. \(16q^{6}+8q^3+1\)
8. \(169q^{4}-156q^2+36\)
9. \(144s^2-264s+121\)
10. \(225x^2+210x+49\)
11. \(4a^2+36a+81\)
12. \(y^2-121\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100q^2+220q+121=(10q+11)^2\)
2. \(4y^{10}+44y^5+121=(2y^5+11)^2\)
3. \(q^2-169=(q-13)(q+13)\)
4. \(25x^2+110x+121=(5x+11)^2\)
5. \(q^2-4q+4=(q-2)^2\)
6. \(225a^{10}+30a^5p+1p^2=(15a^5+p)^2\)
7. \(16q^{6}+8q^3+1=(4q^3+1)^2\)
8. \(169q^{4}-156q^2+36=(13q^2-6)^2\)
9. \(144s^2-264s+121=(12s-11)^2\)
10. \(225x^2+210x+49=(15x+7)^2\)
11. \(4a^2+36a+81=(2a+9)^2\)
12. \(y^2-121=(y+11)(y-11)\)