Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25-64q^{10}\)
2. \(225a^{10}-16s^2\)
3. \(q^2+8q+16\)
4. \(225s^{8}-330s^4+121\)
5. \(100a^2-260a+169\)
6. \(25s^{6}-140s^3+196\)
7. \(121a^2-286a+169\)
8. \(100b^{6}-60b^3+9\)
9. \(36s^2-121q^{8}\)
10. \(81p^2-234p+169\)
11. \(4p^2+4p+1\)
12. \(196a^{8}+420a^4y+225y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25-64q^{10}=(5-8q^5)(5+8q^5)\)
2. \(225a^{10}-16s^2=(15a^5+4s)(15a^5-4s)\)
3. \(q^2+8q+16=(q+4)^2\)
4. \(225s^{8}-330s^4+121=(15s^4-11)^2\)
5. \(100a^2-260a+169=(10a-13)^2\)
6. \(25s^{6}-140s^3+196=(5s^3-14)^2\)
7. \(121a^2-286a+169=(11a-13)^2\)
8. \(100b^{6}-60b^3+9=(10b^3-3)^2\)
9. \(36s^2-121q^{8}=(6s-11q^4)(6s+11q^4)\)
10. \(81p^2-234p+169=(9p-13)^2\)
11. \(4p^2+4p+1=(2p+1)^2\)
12. \(196a^{8}+420a^4y+225y^2=(14a^4+15y)^2\)