Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-4\)
2. \(4y^{8}+4y^4+1\)
3. \(256p^2+480p+225\)
4. \(y^2-1\)
5. \(36s^{8}+12s^4x+1x^2\)
6. \(-9b^2+25\)
7. \(64b^2+16b+1\)
8. \(y^2-225\)
9. \(s^2-49\)
10. \(9p^2-66p+121\)
11. \(a^2+20a+100\)
12. \(9b^{6}-30b^3x+25x^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-4=(p+2)(p-2)\)
2. \(4y^{8}+4y^4+1=(2y^4+1)^2\)
3. \(256p^2+480p+225=(16p+15)^2\)
4. \(y^2-1=(y-1)(y+1)\)
5. \(36s^{8}+12s^4x+1x^2=(6s^4+x)^2\)
6. \(-9b^2+25=(5-3b)(5+3b)\)
7. \(64b^2+16b+1=(8b+1)^2\)
8. \(y^2-225=(y+15)(y-15)\)
9. \(s^2-49=(s+7)(s-7)\)
10. \(9p^2-66p+121=(3p-11)^2\)
11. \(a^2+20a+100=(a+10)^2\)
12. \(9b^{6}-30b^3x+25x^2=(3b^3-5x)^2\)