Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225y^2-16q^{6}\)
2. \(y^2-4\)
3. \(225p^{4}-16y^2\)
4. \(49p^{6}-1\)
5. \(81p^{12}-16\)
6. \(s^2-81\)
7. \(100s^2-121q^{10}\)
8. \(169p^{8}+104p^4y+16y^2\)
9. \(64x^{12}-121\)
10. \(169y^{10}+364y^5+196\)
11. \(a^{14}-169b^2\)
12. \(s^2-6s+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225y^2-16q^{6}=(15y-4q^3)(15y+4q^3)\)
2. \(y^2-4=(y+2)(y-2)\)
3. \(225p^{4}-16y^2=(15p^2+4y)(15p^2-4y)\)
4. \(49p^{6}-1=(7p^3+1)(7p^3-1)\)
5. \(81p^{12}-16=(9p^6+4)(9p^6-4)\)
6. \(s^2-81=(s+9)(s-9)\)
7. \(100s^2-121q^{10}=(10s-11q^5)(10s+11q^5)\)
8. \(169p^{8}+104p^4y+16y^2=(13p^4+4y)^2\)
9. \(64x^{12}-121=(8x^6+11)(8x^6-11)\)
10. \(169y^{10}+364y^5+196=(13y^5+14)^2\)
11. \(a^{14}-169b^2=(a^7+13b)(a^7-13b)\)
12. \(s^2-6s+9=(s-3)^2\)