Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16y^2-49\)
2. \(225a^{10}-169x^2\)
3. \(a^2-1\)
4. \(81b^{6}-144b^3y+64y^2\)
5. \(49p^{6}+70p^3q+25q^2\)
6. \(-64x^2+49\)
7. \(25s^2-4p^{10}\)
8. \(4b^2+4b+1\)
9. \(y^2-100\)
10. \(225a^{4}-420a^2b+196b^2\)
11. \(25-144b^{16}\)
12. \(225x^2+210x+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16y^2-49=(4y+7)(4y-7)\)
2. \(225a^{10}-169x^2=(15a^5+13x)(15a^5-13x)\)
3. \(a^2-1=(a-1)(a+1)\)
4. \(81b^{6}-144b^3y+64y^2=(9b^3-8y)^2\)
5. \(49p^{6}+70p^3q+25q^2=(7p^3+5q)^2\)
6. \(-64x^2+49=(7-8x)(7+8x)\)
7. \(25s^2-4p^{10}=(5s-2p^5)(5s+2p^5)\)
8. \(4b^2+4b+1=(2b+1)^2\)
9. \(y^2-100=(y+10)(y-10)\)
10. \(225a^{4}-420a^2b+196b^2=(15a^2-14b)^2\)
11. \(25-144b^{16}=(5-12b^8)(5+12b^8)\)
12. \(225x^2+210x+49=(15x+7)^2\)