Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(196-25q^{14}\)
- \(x^2-18x+81\)
- \(-144y^2+1\)
- \(81p^{6}-234p^3+169\)
- \(4x^{8}+4x^4+1\)
- \(a^2-28a+196\)
- \(256q^{4}+32q^2y+1y^2\)
- \(225x^{10}-169\)
- \(-25x^2+36\)
- \(225p^{8}-60p^4+4\)
- \(p^2-25\)
- \(q^2+28q+196\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(196-25q^{14}=(14-5q^7)(14+5q^7)\)
- \(x^2-18x+81=(x-9)^2\)
- \(-144y^2+1=(1-12y)(1+12y)\)
- \(81p^{6}-234p^3+169=(9p^3-13)^2\)
- \(4x^{8}+4x^4+1=(2x^4+1)^2\)
- \(a^2-28a+196=(a-14)^2\)
- \(256q^{4}+32q^2y+1y^2=(16q^2+y)^2\)
- \(225x^{10}-169=(15x^5+13)(15x^5-13)\)
- \(-25x^2+36=(6-5x)(6+5x)\)
- \(225p^{8}-60p^4+4=(15p^4-2)^2\)
- \(p^2-25=(p-5)(p+5)\)
- \(q^2+28q+196=(q+14)^2\)