Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16a^2-1\)
2. \(25q^{8}+20q^4+4\)
3. \(100-49b^{12}\)
4. \(100a^{4}+180a^2+81\)
5. \(p^2-30p+225\)
6. \(-81b^2+4\)
7. \(169a^2+156a+36\)
8. \(b^2+2b+1\)
9. \(16p^{10}+56p^5+49\)
10. \(49q^2-42q+9\)
11. \(169s^{10}+286s^5x+121x^2\)
12. \(169q^2-121p^{6}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16a^2-1=(4a+1)(4a-1)\)
2. \(25q^{8}+20q^4+4=(5q^4+2)^2\)
3. \(100-49b^{12}=(10-7b^6)(10+7b^6)\)
4. \(100a^{4}+180a^2+81=(10a^2+9)^2\)
5. \(p^2-30p+225=(p-15)^2\)
6. \(-81b^2+4=(2-9b)(2+9b)\)
7. \(169a^2+156a+36=(13a+6)^2\)
8. \(b^2+2b+1=(b+1)^2\)
9. \(16p^{10}+56p^5+49=(4p^5+7)^2\)
10. \(49q^2-42q+9=(7q-3)^2\)
11. \(169s^{10}+286s^5x+121x^2=(13s^5+11x)^2\)
12. \(169q^2-121p^{6}=(13q-11p^3)(13q+11p^3)\)