Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-16s+64\)
2. \(a^2-12a+36\)
3. \(64x^{14}-49\)
4. \(256p^2-121\)
5. \(16x^2-1\)
6. \(16s^{6}-24s^3x+9x^2\)
7. \(64x^{8}+80x^4y+25y^2\)
8. \(s^2-9\)
9. \(-36b^2+49\)
10. \(a^2-169\)
11. \(196b^{8}+84b^4p+9p^2\)
12. \(225-4x^{10}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-16s+64=(s-8)^2\)
2. \(a^2-12a+36=(a-6)^2\)
3. \(64x^{14}-49=(8x^7+7)(8x^7-7)\)
4. \(256p^2-121=(16p+11)(16p-11)\)
5. \(16x^2-1=(4x+1)(4x-1)\)
6. \(16s^{6}-24s^3x+9x^2=(4s^3-3x)^2\)
7. \(64x^{8}+80x^4y+25y^2=(8x^4+5y)^2\)
8. \(s^2-9=(s-3)(s+3)\)
9. \(-36b^2+49=(7-6b)(7+6b)\)
10. \(a^2-169=(a-13)(a+13)\)
11. \(196b^{8}+84b^4p+9p^2=(14b^4+3p)^2\)
12. \(225-4x^{10}=(15-2x^5)(15+2x^5)\)