Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4x^{4}+4x^2y+1y^2\)
2. \(169-64q^{12}\)
3. \(p^2-8p+16\)
4. \(p^2-64\)
5. \(y^2+24y+144\)
6. \(x^2-12x+36\)
7. \(a^2+12a+36\)
8. \(144a^{8}+24a^4y+1y^2\)
9. \(144p^{4}-264p^2+121\)
10. \(25p^2-140p+196\)
11. \(4q^{6}+4q^3+1\)
12. \(16b^2-56b+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4x^{4}+4x^2y+1y^2=(2x^2+y)^2\)
2. \(169-64q^{12}=(13-8q^6)(13+8q^6)\)
3. \(p^2-8p+16=(p-4)^2\)
4. \(p^2-64=(p-8)(p+8)\)
5. \(y^2+24y+144=(y+12)^2\)
6. \(x^2-12x+36=(x-6)^2\)
7. \(a^2+12a+36=(a+6)^2\)
8. \(144a^{8}+24a^4y+1y^2=(12a^4+y)^2\)
9. \(144p^{4}-264p^2+121=(12p^2-11)^2\)
10. \(25p^2-140p+196=(5p-14)^2\)
11. \(4q^{6}+4q^3+1=(2q^3+1)^2\)
12. \(16b^2-56b+49=(4b-7)^2\)