Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4x^{6}+36x^3+81\)
2. \(256q^2-96q+9\)
3. \(4a^{16}-121\)
4. \(81a^2-1\)
5. \(196q^2-25p^{4}\)
6. \(-25p^2+9\)
7. \(81b^{14}-4p^2\)
8. \(256p^{4}+352p^2+121\)
9. \(9b^{6}-48b^3x+64x^2\)
10. \(36-169a^{12}\)
11. \(-36b^2+121\)
12. \(36s^2-60s+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4x^{6}+36x^3+81=(2x^3+9)^2\)
2. \(256q^2-96q+9=(16q-3)^2\)
3. \(4a^{16}-121=(2a^8+11)(2a^8-11)\)
4. \(81a^2-1=(9a+1)(9a-1)\)
5. \(196q^2-25p^{4}=(14q-5p^2)(14q+5p^2)\)
6. \(-25p^2+9=(3-5p)(3+5p)\)
7. \(81b^{14}-4p^2=(9b^7+2p)(9b^7-2p)\)
8. \(256p^{4}+352p^2+121=(16p^2+11)^2\)
9. \(9b^{6}-48b^3x+64x^2=(3b^3-8x)^2\)
10. \(36-169a^{12}=(6-13a^6)(6+13a^6)\)
11. \(-36b^2+121=(11-6b)(11+6b)\)
12. \(36s^2-60s+25=(6s-5)^2\)