Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16x^{4}-120x^2+225\)
2. \(1-36a^{16}\)
3. \(49a^{4}+56a^2x+16x^2\)
4. \(49s^2-225\)
5. \(y^2+18y+81\)
6. \(256b^{10}-288b^5s+81s^2\)
7. \(16s^{10}-56s^5+49\)
8. \(b^2-2b+1\)
9. \(25-4s^{6}\)
10. \(s^2-8s+16\)
11. \(100a^{6}-9y^2\)
12. \(64y^2-49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16x^{4}-120x^2+225=(4x^2-15)^2\)
2. \(1-36a^{16}=(1-6a^8)(1+6a^8)\)
3. \(49a^{4}+56a^2x+16x^2=(7a^2+4x)^2\)
4. \(49s^2-225=(7s+15)(7s-15)\)
5. \(y^2+18y+81=(y+9)^2\)
6. \(256b^{10}-288b^5s+81s^2=(16b^5-9s)^2\)
7. \(16s^{10}-56s^5+49=(4s^5-7)^2\)
8. \(b^2-2b+1=(b-1)^2\)
9. \(25-4s^{6}=(5-2s^3)(5+2s^3)\)
10. \(s^2-8s+16=(s-4)^2\)
11. \(100a^{6}-9y^2=(10a^3+3y)(10a^3-3y)\)
12. \(64y^2-49=(8y+7)(8y-7)\)