Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+24a+144\)
2. \(81x^2-144x+64\)
3. \(121x^2-169p^{10}\)
4. \(36b^{10}+12b^5x+1x^2\)
5. \(81-100x^{10}\)
6. \(16q^{6}-88q^3y+121y^2\)
7. \(144q^{4}+120q^2s+25s^2\)
8. \(16a^2-225\)
9. \(169b^{12}-81p^2\)
10. \(-256s^2+121\)
11. \(25x^{8}-40x^4+16\)
12. \(x^2-10x+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+24a+144=(a+12)^2\)
2. \(81x^2-144x+64=(9x-8)^2\)
3. \(121x^2-169p^{10}=(11x-13p^5)(11x+13p^5)\)
4. \(36b^{10}+12b^5x+1x^2=(6b^5+x)^2\)
5. \(81-100x^{10}=(9-10x^5)(9+10x^5)\)
6. \(16q^{6}-88q^3y+121y^2=(4q^3-11y)^2\)
7. \(144q^{4}+120q^2s+25s^2=(12q^2+5s)^2\)
8. \(16a^2-225=(4a+15)(4a-15)\)
9. \(169b^{12}-81p^2=(13b^6+9p)(13b^6-9p)\)
10. \(-256s^2+121=(11-16s)(11+16s)\)
11. \(25x^{8}-40x^4+16=(5x^4-4)^2\)
12. \(x^2-10x+25=(x-5)^2\)