Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49b^2-84b+36\)
2. \(49-100y^{8}\)
3. \(-121y^2+16\)
4. \(b^2+6b+9\)
5. \(y^2+14y+49\)
6. \(64a^{6}+176a^3+121\)
7. \(4b^{10}+4b^5p+1p^2\)
8. \(9a^2-49\)
9. \(p^2-144\)
10. \(81x^2-16p^{10}\)
11. \(16a^{14}-9b^2\)
12. \(49a^{4}+70a^2+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49b^2-84b+36=(7b-6)^2\)
2. \(49-100y^{8}=(7-10y^4)(7+10y^4)\)
3. \(-121y^2+16=(4-11y)(4+11y)\)
4. \(b^2+6b+9=(b+3)^2\)
5. \(y^2+14y+49=(y+7)^2\)
6. \(64a^{6}+176a^3+121=(8a^3+11)^2\)
7. \(4b^{10}+4b^5p+1p^2=(2b^5+p)^2\)
8. \(9a^2-49=(3a+7)(3a-7)\)
9. \(p^2-144=(p+12)(p-12)\)
10. \(81x^2-16p^{10}=(9x-4p^5)(9x+4p^5)\)
11. \(16a^{14}-9b^2=(4a^7+3b)(4a^7-3b)\)
12. \(49a^{4}+70a^2+25=(7a^2+5)^2\)