Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-121\)
2. \(-4p^2+225\)
3. \(s^2-81\)
4. \(x^2-4x+4\)
5. \(225s^{10}+210s^5+49\)
6. \(4a^{6}+4a^3y+1y^2\)
7. \(b^2-8b+16\)
8. \(16q^2-169\)
9. \(256s^{4}-480s^2+225\)
10. \(9s^2-121\)
11. \(4x^{16}-225\)
12. \(9b^{4}-84b^2p+196p^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-121=(q-11)(q+11)\)
2. \(-4p^2+225=(15-2p)(15+2p)\)
3. \(s^2-81=(s-9)(s+9)\)
4. \(x^2-4x+4=(x-2)^2\)
5. \(225s^{10}+210s^5+49=(15s^5+7)^2\)
6. \(4a^{6}+4a^3y+1y^2=(2a^3+y)^2\)
7. \(b^2-8b+16=(b-4)^2\)
8. \(16q^2-169=(4q+13)(4q-13)\)
9. \(256s^{4}-480s^2+225=(16s^2-15)^2\)
10. \(9s^2-121=(3s+11)(3s-11)\)
11. \(4x^{16}-225=(2x^8+15)(2x^8-15)\)
12. \(9b^{4}-84b^2p+196p^2=(3b^2-14p)^2\)