Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^{6}-1\)
2. \(225-16s^{16}\)
3. \(q^2-225\)
4. \(1-100y^{8}\)
5. \(64s^{14}-49\)
6. \(-64s^2+225\)
7. \(225b^{6}-4p^2\)
8. \(q^2-81\)
9. \(9a^{8}+42a^4q+49q^2\)
10. \(64b^{6}+176b^3+121\)
11. \(9x^2-16s^{10}\)
12. \(25-256x^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^{6}-1=(11b^3+1)(11b^3-1)\)
2. \(225-16s^{16}=(15-4s^8)(15+4s^8)\)
3. \(q^2-225=(q+15)(q-15)\)
4. \(1-100y^{8}=(1-10y^4)(1+10y^4)\)
5. \(64s^{14}-49=(8s^7+7)(8s^7-7)\)
6. \(-64s^2+225=(15-8s)(15+8s)\)
7. \(225b^{6}-4p^2=(15b^3+2p)(15b^3-2p)\)
8. \(q^2-81=(q+9)(q-9)\)
9. \(9a^{8}+42a^4q+49q^2=(3a^4+7q)^2\)
10. \(64b^{6}+176b^3+121=(8b^3+11)^2\)
11. \(9x^2-16s^{10}=(3x-4s^5)(3x+4s^5)\)
12. \(25-256x^{14}=(5-16x^7)(5+16x^7)\)