Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196s^{8}+308s^4+121\)
2. \(-100s^2+1\)
3. \(1-16s^{4}\)
4. \(1-121y^{12}\)
5. \(100x^2-169s^{14}\)
6. \(121q^{12}-196\)
7. \(4b^2+4b+1\)
8. \(169p^{16}-9x^2\)
9. \(144p^{10}-25s^2\)
10. \(64b^2+176b+121\)
11. \(a^2-25\)
12. \(225-49a^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196s^{8}+308s^4+121=(14s^4+11)^2\)
2. \(-100s^2+1=(1-10s)(1+10s)\)
3. \(1-16s^{4}=(1-4s^2)(1+4s^2)\)
4. \(1-121y^{12}=(1-11y^6)(1+11y^6)\)
5. \(100x^2-169s^{14}=(10x-13s^7)(10x+13s^7)\)
6. \(121q^{12}-196=(11q^6+14)(11q^6-14)\)
7. \(4b^2+4b+1=(2b+1)^2\)
8. \(169p^{16}-9x^2=(13p^8+3x)(13p^8-3x)\)
9. \(144p^{10}-25s^2=(12p^5+5s)(12p^5-5s)\)
10. \(64b^2+176b+121=(8b+11)^2\)
11. \(a^2-25=(a+5)(a-5)\)
12. \(225-49a^{12}=(15-7a^6)(15+7a^6)\)