Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256q^{8}-288q^4+81\)
2. \(q^2+12q+36\)
3. \(4x^2+20x+25\)
4. \(121x^2-286x+169\)
5. \(64p^{8}-112p^4+49\)
6. \(169a^{4}-121x^2\)
7. \(144q^2-25\)
8. \(s^2-144\)
9. \(-64b^2+121\)
10. \(144b^{10}+24b^5s+1s^2\)
11. \(4x^2+4x+1\)
12. \(100p^{6}+140p^3x+49x^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256q^{8}-288q^4+81=(16q^4-9)^2\)
2. \(q^2+12q+36=(q+6)^2\)
3. \(4x^2+20x+25=(2x+5)^2\)
4. \(121x^2-286x+169=(11x-13)^2\)
5. \(64p^{8}-112p^4+49=(8p^4-7)^2\)
6. \(169a^{4}-121x^2=(13a^2+11x)(13a^2-11x)\)
7. \(144q^2-25=(12q+5)(12q-5)\)
8. \(s^2-144=(s-12)(s+12)\)
9. \(-64b^2+121=(11-8b)(11+8b)\)
10. \(144b^{10}+24b^5s+1s^2=(12b^5+s)^2\)
11. \(4x^2+4x+1=(2x+1)^2\)
12. \(100p^{6}+140p^3x+49x^2=(10p^3+7x)^2\)