Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16a^{8}+56a^4y+49y^2\)
- \(144s^{6}-264s^3x+121x^2\)
- \(225b^2-420b+196\)
- \(256q^{4}-96q^2+9\)
- \(49a^{8}-36y^2\)
- \(100p^{4}+20p^2+1\)
- \(49x^2-100p^{12}\)
- \(225s^2-196a^{6}\)
- \(-81b^2+4\)
- \(4x^{4}+36x^2+81\)
- \(-196s^2+81\)
- \(169-196b^{16}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16a^{8}+56a^4y+49y^2=(4a^4+7y)^2\)
- \(144s^{6}-264s^3x+121x^2=(12s^3-11x)^2\)
- \(225b^2-420b+196=(15b-14)^2\)
- \(256q^{4}-96q^2+9=(16q^2-3)^2\)
- \(49a^{8}-36y^2=(7a^4+6y)(7a^4-6y)\)
- \(100p^{4}+20p^2+1=(10p^2+1)^2\)
- \(49x^2-100p^{12}=(7x-10p^6)(7x+10p^6)\)
- \(225s^2-196a^{6}=(15s-14a^3)(15s+14a^3)\)
- \(-81b^2+4=(2-9b)(2+9b)\)
- \(4x^{4}+36x^2+81=(2x^2+9)^2\)
- \(-196s^2+81=(9-14s)(9+14s)\)
- \(169-196b^{16}=(13-14b^8)(13+14b^8)\)