Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64s^2-121b^{8}\)
2. \(121y^2+22y+1\)
3. \(4-9a^{12}\)
4. \(36y^{6}-60y^3+25\)
5. \(-196p^2+9\)
6. \(49p^2-225a^{16}\)
7. \(9x^2-196q^{16}\)
8. \(x^2-9\)
9. \(9s^{12}-169\)
10. \(36q^2-49\)
11. \(q^2+28q+196\)
12. \(36a^{6}-132a^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64s^2-121b^{8}=(8s-11b^4)(8s+11b^4)\)
2. \(121y^2+22y+1=(11y+1)^2\)
3. \(4-9a^{12}=(2-3a^6)(2+3a^6)\)
4. \(36y^{6}-60y^3+25=(6y^3-5)^2\)
5. \(-196p^2+9=(3-14p)(3+14p)\)
6. \(49p^2-225a^{16}=(7p-15a^8)(7p+15a^8)\)
7. \(9x^2-196q^{16}=(3x-14q^8)(3x+14q^8)\)
8. \(x^2-9=(x+3)(x-3)\)
9. \(9s^{12}-169=(3s^6+13)(3s^6-13)\)
10. \(36q^2-49=(6q+7)(6q-7)\)
11. \(q^2+28q+196=(q+14)^2\)
12. \(36a^{6}-132a^3+121=(6a^3-11)^2\)