Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2+4b+4\)
2. \(25q^2-90q+81\)
3. \(b^2-81\)
4. \(225a^{10}-4x^2\)
5. \(256b^{10}+288b^5y+81y^2\)
6. \(144p^{8}-121q^2\)
7. \(y^2-14y+49\)
8. \(a^2-81\)
9. \(25x^{10}-90x^5+81\)
10. \(x^2-10x+25\)
11. \(25q^{4}-90q^2y+81y^2\)
12. \(256s^{4}-96s^2+9\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2+4b+4=(b+2)^2\)
2. \(25q^2-90q+81=(5q-9)^2\)
3. \(b^2-81=(b-9)(b+9)\)
4. \(225a^{10}-4x^2=(15a^5+2x)(15a^5-2x)\)
5. \(256b^{10}+288b^5y+81y^2=(16b^5+9y)^2\)
6. \(144p^{8}-121q^2=(12p^4+11q)(12p^4-11q)\)
7. \(y^2-14y+49=(y-7)^2\)
8. \(a^2-81=(a+9)(a-9)\)
9. \(25x^{10}-90x^5+81=(5x^5-9)^2\)
10. \(x^2-10x+25=(x-5)^2\)
11. \(25q^{4}-90q^2y+81y^2=(5q^2-9y)^2\)
12. \(256s^{4}-96s^2+9=(16s^2-3)^2\)