Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-36q^2+1\)
2. \(-9p^2+49\)
3. \(81q^{12}-64y^2\)
4. \(225y^{8}-60y^4+4\)
5. \(b^2-4\)
6. \(49s^{6}-42s^3x+9x^2\)
7. \(s^2-196\)
8. \(196q^2-81a^{4}\)
9. \(64q^2+240q+225\)
10. \(16-225a^{4}\)
11. \(9y^{8}+48y^4+64\)
12. \(b^2-169\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-36q^2+1=(1-6q)(1+6q)\)
2. \(-9p^2+49=(7-3p)(7+3p)\)
3. \(81q^{12}-64y^2=(9q^6+8y)(9q^6-8y)\)
4. \(225y^{8}-60y^4+4=(15y^4-2)^2\)
5. \(b^2-4=(b-2)(b+2)\)
6. \(49s^{6}-42s^3x+9x^2=(7s^3-3x)^2\)
7. \(s^2-196=(s-14)(s+14)\)
8. \(196q^2-81a^{4}=(14q-9a^2)(14q+9a^2)\)
9. \(64q^2+240q+225=(8q+15)^2\)
10. \(16-225a^{4}=(4-15a^2)(4+15a^2)\)
11. \(9y^{8}+48y^4+64=(3y^4+8)^2\)
12. \(b^2-169=(b+13)(b-13)\)