Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-49\)
2. \(169s^2-104s+16\)
3. \(-9y^2+121\)
4. \(4a^{10}+4a^5y+1y^2\)
5. \(256p^{10}+480p^5+225\)
6. \(s^2+8s+16\)
7. \(100p^2-81\)
8. \(16b^{6}-56b^3+49\)
9. \(x^2-16\)
10. \(s^2-225\)
11. \(9b^{6}-100s^2\)
12. \(q^2-1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-49=(b-7)(b+7)\)
2. \(169s^2-104s+16=(13s-4)^2\)
3. \(-9y^2+121=(11-3y)(11+3y)\)
4. \(4a^{10}+4a^5y+1y^2=(2a^5+y)^2\)
5. \(256p^{10}+480p^5+225=(16p^5+15)^2\)
6. \(s^2+8s+16=(s+4)^2\)
7. \(100p^2-81=(10p+9)(10p-9)\)
8. \(16b^{6}-56b^3+49=(4b^3-7)^2\)
9. \(x^2-16=(x+4)(x-4)\)
10. \(s^2-225=(s+15)(s-15)\)
11. \(9b^{6}-100s^2=(3b^3+10s)(3b^3-10s)\)
12. \(q^2-1=(q-1)(q+1)\)