Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2-225\)
2. \(16b^{4}+104b^2+169\)
3. \(169b^{6}-312b^3+144\)
4. \(121s^2-44s+4\)
5. \(p^2-36\)
6. \(9s^{4}-84s^2+196\)
7. \(225a^{14}-49p^2\)
8. \(121x^{4}-1\)
9. \(64-25x^{8}\)
10. \(225a^{14}-1\)
11. \(64-225s^{10}\)
12. \(196p^{8}+28p^4+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2-225=(11x+15)(11x-15)\)
2. \(16b^{4}+104b^2+169=(4b^2+13)^2\)
3. \(169b^{6}-312b^3+144=(13b^3-12)^2\)
4. \(121s^2-44s+4=(11s-2)^2\)
5. \(p^2-36=(p-6)(p+6)\)
6. \(9s^{4}-84s^2+196=(3s^2-14)^2\)
7. \(225a^{14}-49p^2=(15a^7+7p)(15a^7-7p)\)
8. \(121x^{4}-1=(11x^2+1)(11x^2-1)\)
9. \(64-25x^{8}=(8-5x^4)(8+5x^4)\)
10. \(225a^{14}-1=(15a^7+1)(15a^7-1)\)
11. \(64-225s^{10}=(8-15s^5)(8+15s^5)\)
12. \(196p^{8}+28p^4+1=(14p^4+1)^2\)