Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-36\)
2. \(4s^2-9a^{4}\)
3. \(49a^{6}+56a^3+16\)
4. \(x^2-1\)
5. \(81b^{6}-234b^3y+169y^2\)
6. \(16b^{6}-56b^3q+49q^2\)
7. \(81y^{4}-198y^2+121\)
8. \(4s^{6}+4s^3+1\)
9. \(256b^{6}+224b^3+49\)
10. \(169-36a^{4}\)
11. \(64b^{8}-240b^4q+225q^2\)
12. \(225-64q^{8}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-36=(y+6)(y-6)\)
2. \(4s^2-9a^{4}=(2s-3a^2)(2s+3a^2)\)
3. \(49a^{6}+56a^3+16=(7a^3+4)^2\)
4. \(x^2-1=(x+1)(x-1)\)
5. \(81b^{6}-234b^3y+169y^2=(9b^3-13y)^2\)
6. \(16b^{6}-56b^3q+49q^2=(4b^3-7q)^2\)
7. \(81y^{4}-198y^2+121=(9y^2-11)^2\)
8. \(4s^{6}+4s^3+1=(2s^3+1)^2\)
9. \(256b^{6}+224b^3+49=(16b^3+7)^2\)
10. \(169-36a^{4}=(13-6a^2)(13+6a^2)\)
11. \(64b^{8}-240b^4q+225q^2=(8b^4-15q)^2\)
12. \(225-64q^{8}=(15-8q^4)(15+8q^4)\)