Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64b^{10}+16b^5p+1p^2\)
2. \(25x^{4}-140x^2+196\)
3. \(196a^{10}+84a^5s+9s^2\)
4. \(49-36x^{8}\)
5. \(256p^{6}-25x^2\)
6. \(36b^{8}+12b^4p+1p^2\)
7. \(64s^{10}+240s^5y+225y^2\)
8. \(a^2-22a+121\)
9. \(121-4x^{14}\)
10. \(196q^2+28q+1\)
11. \(25s^{6}-20s^3+4\)
12. \(256p^2+32p+1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64b^{10}+16b^5p+1p^2=(8b^5+p)^2\)
2. \(25x^{4}-140x^2+196=(5x^2-14)^2\)
3. \(196a^{10}+84a^5s+9s^2=(14a^5+3s)^2\)
4. \(49-36x^{8}=(7-6x^4)(7+6x^4)\)
5. \(256p^{6}-25x^2=(16p^3+5x)(16p^3-5x)\)
6. \(36b^{8}+12b^4p+1p^2=(6b^4+p)^2\)
7. \(64s^{10}+240s^5y+225y^2=(8s^5+15y)^2\)
8. \(a^2-22a+121=(a-11)^2\)
9. \(121-4x^{14}=(11-2x^7)(11+2x^7)\)
10. \(196q^2+28q+1=(14q+1)^2\)
11. \(25s^{6}-20s^3+4=(5s^3-2)^2\)
12. \(256p^2+32p+1=(16p+1)^2\)