Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16x^2-24x+9\)
2. \(100b^2+140b+49\)
3. \(x^2+6x+9\)
4. \(144b^{6}-25p^2\)
5. \(225b^{8}-49p^2\)
6. \(-81x^2+1\)
7. \(1-196p^{8}\)
8. \(p^2-4p+4\)
9. \(-25y^2+121\)
10. \(16x^2+72x+81\)
11. \(81y^2-256b^{16}\)
12. \(s^2-225\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16x^2-24x+9=(4x-3)^2\)
2. \(100b^2+140b+49=(10b+7)^2\)
3. \(x^2+6x+9=(x+3)^2\)
4. \(144b^{6}-25p^2=(12b^3+5p)(12b^3-5p)\)
5. \(225b^{8}-49p^2=(15b^4+7p)(15b^4-7p)\)
6. \(-81x^2+1=(1-9x)(1+9x)\)
7. \(1-196p^{8}=(1-14p^4)(1+14p^4)\)
8. \(p^2-4p+4=(p-2)^2\)
9. \(-25y^2+121=(11-5y)(11+5y)\)
10. \(16x^2+72x+81=(4x+9)^2\)
11. \(81y^2-256b^{16}=(9y-16b^8)(9y+16b^8)\)
12. \(s^2-225=(s-15)(s+15)\)