Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

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

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

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