Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225p^2+120p+16\)
2. \(9x^{16}-16\)
3. \(169-225b^{6}\)
4. \(p^2-100\)
5. \(b^2+14b+49\)
6. \(49y^{4}+168y^2+144\)
7. \(4y^2+28y+49\)
8. \(196s^{8}-364s^4+169\)
9. \(36b^{12}-121q^2\)
10. \(64q^2-169\)
11. \(p^2-16\)
12. \(-9s^2+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225p^2+120p+16=(15p+4)^2\)
2. \(9x^{16}-16=(3x^8+4)(3x^8-4)\)
3. \(169-225b^{6}=(13-15b^3)(13+15b^3)\)
4. \(p^2-100=(p+10)(p-10)\)
5. \(b^2+14b+49=(b+7)^2\)
6. \(49y^{4}+168y^2+144=(7y^2+12)^2\)
7. \(4y^2+28y+49=(2y+7)^2\)
8. \(196s^{8}-364s^4+169=(14s^4-13)^2\)
9. \(36b^{12}-121q^2=(6b^6+11q)(6b^6-11q)\)
10. \(64q^2-169=(8q+13)(8q-13)\)
11. \(p^2-16=(p+4)(p-4)\)
12. \(-9s^2+49=(7-3s)(7+3s)\)