Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36y^2+60y+25\)
2. \(225x^2-256b^{12}\)
3. \(36b^2-60b+25\)
4. \(a^2-4a+4\)
5. \(x^2+8x+16\)
6. \(s^2-64\)
7. \(9a^{4}-48a^2q+64q^2\)
8. \(36p^{6}+84p^3y+49y^2\)
9. \(4q^2-225\)
10. \(196b^{4}-9q^2\)
11. \(x^2-16x+64\)
12. \(9p^{4}+12p^2y+4y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36y^2+60y+25=(6y+5)^2\)
2. \(225x^2-256b^{12}=(15x-16b^6)(15x+16b^6)\)
3. \(36b^2-60b+25=(6b-5)^2\)
4. \(a^2-4a+4=(a-2)^2\)
5. \(x^2+8x+16=(x+4)^2\)
6. \(s^2-64=(s-8)(s+8)\)
7. \(9a^{4}-48a^2q+64q^2=(3a^2-8q)^2\)
8. \(36p^{6}+84p^3y+49y^2=(6p^3+7y)^2\)
9. \(4q^2-225=(2q+15)(2q-15)\)
10. \(196b^{4}-9q^2=(14b^2+3q)(14b^2-3q)\)
11. \(x^2-16x+64=(x-8)^2\)
12. \(9p^{4}+12p^2y+4y^2=(3p^2+2y)^2\)