Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(169p^{8}+26p^4+1\)
- \(25p^{8}-90p^4s+81s^2\)
- \(256y^2-288y+81\)
- \(256x^2-96x+9\)
- \(-256y^2+169\)
- \(64a^{8}+208a^4+169\)
- \(169a^{16}-1\)
- \(169q^{10}-156q^5+36\)
- \(81s^{8}+18s^4x+1x^2\)
- \(16q^2+72q+81\)
- \(196s^{6}+28s^3x+1x^2\)
- \(x^2-144\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(169p^{8}+26p^4+1=(13p^4+1)^2\)
- \(25p^{8}-90p^4s+81s^2=(5p^4-9s)^2\)
- \(256y^2-288y+81=(16y-9)^2\)
- \(256x^2-96x+9=(16x-3)^2\)
- \(-256y^2+169=(13-16y)(13+16y)\)
- \(64a^{8}+208a^4+169=(8a^4+13)^2\)
- \(169a^{16}-1=(13a^8+1)(13a^8-1)\)
- \(169q^{10}-156q^5+36=(13q^5-6)^2\)
- \(81s^{8}+18s^4x+1x^2=(9s^4+x)^2\)
- \(16q^2+72q+81=(4q+9)^2\)
- \(196s^{6}+28s^3x+1x^2=(14s^3+x)^2\)
- \(x^2-144=(x-12)(x+12)\)