Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121b^{12}-169y^2\)
- \(100q^{8}-260q^4x+169x^2\)
- \(81y^{12}-100\)
- \(49q^{4}-224q^2y+256y^2\)
- \(196p^{14}-81y^2\)
- \(49a^2-225\)
- \(36q^{10}-132q^5+121\)
- \(144y^{8}-264y^4+121\)
- \(121b^{6}-220b^3p+100p^2\)
- \(196s^2+28s+1\)
- \(256p^{8}+32p^4+1\)
- \(9b^{10}-30b^5p+25p^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121b^{12}-169y^2=(11b^6+13y)(11b^6-13y)\)
- \(100q^{8}-260q^4x+169x^2=(10q^4-13x)^2\)
- \(81y^{12}-100=(9y^6+10)(9y^6-10)\)
- \(49q^{4}-224q^2y+256y^2=(7q^2-16y)^2\)
- \(196p^{14}-81y^2=(14p^7+9y)(14p^7-9y)\)
- \(49a^2-225=(7a+15)(7a-15)\)
- \(36q^{10}-132q^5+121=(6q^5-11)^2\)
- \(144y^{8}-264y^4+121=(12y^4-11)^2\)
- \(121b^{6}-220b^3p+100p^2=(11b^3-10p)^2\)
- \(196s^2+28s+1=(14s+1)^2\)
- \(256p^{8}+32p^4+1=(16p^4+1)^2\)
- \(9b^{10}-30b^5p+25p^2=(3b^5-5p)^2\)