Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225b^{6}+30b^3s+1s^2\)
2. \(x^2+26x+169\)
3. \(225q^2-1\)
4. \(25a^{6}+110a^3+121\)
5. \(q^2-28q+196\)
6. \(49-256b^{4}\)
7. \(121a^{8}-225s^2\)
8. \(q^2-81\)
9. \(81p^2+144p+64\)
10. \(49b^{10}-84b^5y+36y^2\)
11. \(144a^{8}+264a^4b+121b^2\)
12. \(256b^2-480b+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225b^{6}+30b^3s+1s^2=(15b^3+s)^2\)
2. \(x^2+26x+169=(x+13)^2\)
3. \(225q^2-1=(15q+1)(15q-1)\)
4. \(25a^{6}+110a^3+121=(5a^3+11)^2\)
5. \(q^2-28q+196=(q-14)^2\)
6. \(49-256b^{4}=(7-16b^2)(7+16b^2)\)
7. \(121a^{8}-225s^2=(11a^4+15s)(11a^4-15s)\)
8. \(q^2-81=(q-9)(q+9)\)
9. \(81p^2+144p+64=(9p+8)^2\)
10. \(49b^{10}-84b^5y+36y^2=(7b^5-6y)^2\)
11. \(144a^{8}+264a^4b+121b^2=(12a^4+11b)^2\)
12. \(256b^2-480b+225=(16b-15)^2\)