Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16a^{4}+8a^2+1\)
2. \(49a^{6}-4s^2\)
3. \(196a^2-25\)
4. \(64s^{16}-169\)
5. \(a^2-36\)
6. \(-256p^2+169\)
7. \(225p^{14}-169\)
8. \(q^2+14q+49\)
9. \(4-9q^{8}\)
10. \(256q^{8}-96q^4+9\)
11. \(a^2-10a+25\)
12. \(64b^{16}-9q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16a^{4}+8a^2+1=(4a^2+1)^2\)
2. \(49a^{6}-4s^2=(7a^3+2s)(7a^3-2s)\)
3. \(196a^2-25=(14a+5)(14a-5)\)
4. \(64s^{16}-169=(8s^8+13)(8s^8-13)\)
5. \(a^2-36=(a+6)(a-6)\)
6. \(-256p^2+169=(13-16p)(13+16p)\)
7. \(225p^{14}-169=(15p^7+13)(15p^7-13)\)
8. \(q^2+14q+49=(q+7)^2\)
9. \(4-9q^{8}=(2-3q^4)(2+3q^4)\)
10. \(256q^{8}-96q^4+9=(16q^4-3)^2\)
11. \(a^2-10a+25=(a-5)^2\)
12. \(64b^{16}-9q^2=(8b^8+3q)(8b^8-3q)\)