Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(144p^2+24p+1\)
- \(225a^{16}-121\)
- \(b^2-9\)
- \(9p^2-121\)
- \(64p^{16}-49y^2\)
- \(256y^2+32y+1\)
- \(y^2+28y+196\)
- \(196x^{14}-1\)
- \(-16a^2+169\)
- \(121x^2-64\)
- \(-25a^2+121\)
- \(16-81a^{10}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(144p^2+24p+1=(12p+1)^2\)
- \(225a^{16}-121=(15a^8+11)(15a^8-11)\)
- \(b^2-9=(b-3)(b+3)\)
- \(9p^2-121=(3p+11)(3p-11)\)
- \(64p^{16}-49y^2=(8p^8+7y)(8p^8-7y)\)
- \(256y^2+32y+1=(16y+1)^2\)
- \(y^2+28y+196=(y+14)^2\)
- \(196x^{14}-1=(14x^7+1)(14x^7-1)\)
- \(-16a^2+169=(13-4a)(13+4a)\)
- \(121x^2-64=(11x+8)(11x-8)\)
- \(-25a^2+121=(11-5a)(11+5a)\)
- \(16-81a^{10}=(4-9a^5)(4+9a^5)\)