Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2+20x+100\)
2. \(196y^2-81\)
3. \(256y^2-480y+225\)
4. \(64a^{10}+208a^5s+169s^2\)
5. \(121x^2+132x+36\)
6. \(169a^{8}-156a^4+36\)
7. \(144s^{8}-1\)
8. \(-64p^2+49\)
9. \(16p^{16}-25y^2\)
10. \(81q^{6}-234q^3+169\)
11. \(4-121a^{12}\)
12. \(1-25s^{8}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2+20x+100=(x+10)^2\)
2. \(196y^2-81=(14y+9)(14y-9)\)
3. \(256y^2-480y+225=(16y-15)^2\)
4. \(64a^{10}+208a^5s+169s^2=(8a^5+13s)^2\)
5. \(121x^2+132x+36=(11x+6)^2\)
6. \(169a^{8}-156a^4+36=(13a^4-6)^2\)
7. \(144s^{8}-1=(12s^4+1)(12s^4-1)\)
8. \(-64p^2+49=(7-8p)(7+8p)\)
9. \(16p^{16}-25y^2=(4p^8+5y)(4p^8-5y)\)
10. \(81q^{6}-234q^3+169=(9q^3-13)^2\)
11. \(4-121a^{12}=(2-11a^6)(2+11a^6)\)
12. \(1-25s^{8}=(1-5s^4)(1+5s^4)\)