Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9b^{6}+12b^3x+4x^2\)
2. \(64s^2-112s+49\)
3. \(a^2-169\)
4. \(25s^{16}-1\)
5. \(p^2-121\)
6. \(25b^2-36a^{6}\)
7. \(y^2-100\)
8. \(121x^2-144q^{14}\)
9. \(25s^{4}+60s^2x+36x^2\)
10. \(b^2+12b+36\)
11. \(x^2-225\)
12. \(-256p^2+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9b^{6}+12b^3x+4x^2=(3b^3+2x)^2\)
2. \(64s^2-112s+49=(8s-7)^2\)
3. \(a^2-169=(a-13)(a+13)\)
4. \(25s^{16}-1=(5s^8+1)(5s^8-1)\)
5. \(p^2-121=(p-11)(p+11)\)
6. \(25b^2-36a^{6}=(5b-6a^3)(5b+6a^3)\)
7. \(y^2-100=(y-10)(y+10)\)
8. \(121x^2-144q^{14}=(11x-12q^7)(11x+12q^7)\)
9. \(25s^{4}+60s^2x+36x^2=(5s^2+6x)^2\)
10. \(b^2+12b+36=(b+6)^2\)
11. \(x^2-225=(x+15)(x-15)\)
12. \(-256p^2+49=(7-16p)(7+16p)\)