Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^{6}+420s^3+196\)
2. \(100p^{4}+140p^2+49\)
3. \(25s^2-144p^{16}\)
4. \(36s^2+132s+121\)
5. \(16y^{16}-81\)
6. \(a^2-169\)
7. \(s^2-6s+9\)
8. \(y^2+4y+4\)
9. \(64p^2-208p+169\)
10. \(x^2-4x+4\)
11. \(196s^2+28s+1\)
12. \(256s^{10}+160s^5+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^{6}+420s^3+196=(15s^3+14)^2\)
2. \(100p^{4}+140p^2+49=(10p^2+7)^2\)
3. \(25s^2-144p^{16}=(5s-12p^8)(5s+12p^8)\)
4. \(36s^2+132s+121=(6s+11)^2\)
5. \(16y^{16}-81=(4y^8+9)(4y^8-9)\)
6. \(a^2-169=(a+13)(a-13)\)
7. \(s^2-6s+9=(s-3)^2\)
8. \(y^2+4y+4=(y+2)^2\)
9. \(64p^2-208p+169=(8p-13)^2\)
10. \(x^2-4x+4=(x-2)^2\)
11. \(196s^2+28s+1=(14s+1)^2\)
12. \(256s^{10}+160s^5+25=(16s^5+5)^2\)