Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144p^2+24p+1\)
2. \(225a^{16}-121\)
3. \(b^2-9\)
4. \(9p^2-121\)
5. \(64p^{16}-49y^2\)
6. \(256y^2+32y+1\)
7. \(y^2+28y+196\)
8. \(196x^{14}-1\)
9. \(-16a^2+169\)
10. \(121x^2-64\)
11. \(-25a^2+121\)
12. \(16-81a^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144p^2+24p+1=(12p+1)^2\)
2. \(225a^{16}-121=(15a^8+11)(15a^8-11)\)
3. \(b^2-9=(b-3)(b+3)\)
4. \(9p^2-121=(3p+11)(3p-11)\)
5. \(64p^{16}-49y^2=(8p^8+7y)(8p^8-7y)\)
6. \(256y^2+32y+1=(16y+1)^2\)
7. \(y^2+28y+196=(y+14)^2\)
8. \(196x^{14}-1=(14x^7+1)(14x^7-1)\)
9. \(-16a^2+169=(13-4a)(13+4a)\)
10. \(121x^2-64=(11x+8)(11x-8)\)
11. \(-25a^2+121=(11-5a)(11+5a)\)
12. \(16-81a^{10}=(4-9a^5)(4+9a^5)\)