Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(81q^{8}+234q^4+169\)
- \(225x^{14}-1\)
- \(225-49y^{4}\)
- \(p^2-169\)
- \(196b^{14}-25q^2\)
- \(s^2-12s+36\)
- \(64q^2-81\)
- \(100x^2-81q^{4}\)
- \(49-225b^{10}\)
- \(-196y^2+121\)
- \(a^2-4\)
- \(169s^{4}-52s^2y+4y^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(81q^{8}+234q^4+169=(9q^4+13)^2\)
- \(225x^{14}-1=(15x^7+1)(15x^7-1)\)
- \(225-49y^{4}=(15-7y^2)(15+7y^2)\)
- \(p^2-169=(p+13)(p-13)\)
- \(196b^{14}-25q^2=(14b^7+5q)(14b^7-5q)\)
- \(s^2-12s+36=(s-6)^2\)
- \(64q^2-81=(8q+9)(8q-9)\)
- \(100x^2-81q^{4}=(10x-9q^2)(10x+9q^2)\)
- \(49-225b^{10}=(7-15b^5)(7+15b^5)\)
- \(-196y^2+121=(11-14y)(11+14y)\)
- \(a^2-4=(a-2)(a+2)\)
- \(169s^{4}-52s^2y+4y^2=(13s^2-2y)^2\)