Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(y^2-225\)
- \(16p^{6}-49\)
- \(4x^2+4x+1\)
- \(9b^{8}-84b^4+196\)
- \(-25x^2+36\)
- \(36b^{4}-169p^2\)
- \(9p^{14}-64\)
- \(169q^2+78q+9\)
- \(64-81a^{10}\)
- \(9x^2-100b^{6}\)
- \(100y^2+180y+81\)
- \(y^2+28y+196\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(y^2-225=(y-15)(y+15)\)
- \(16p^{6}-49=(4p^3+7)(4p^3-7)\)
- \(4x^2+4x+1=(2x+1)^2\)
- \(9b^{8}-84b^4+196=(3b^4-14)^2\)
- \(-25x^2+36=(6-5x)(6+5x)\)
- \(36b^{4}-169p^2=(6b^2+13p)(6b^2-13p)\)
- \(9p^{14}-64=(3p^7+8)(3p^7-8)\)
- \(169q^2+78q+9=(13q+3)^2\)
- \(64-81a^{10}=(8-9a^5)(8+9a^5)\)
- \(9x^2-100b^{6}=(3x-10b^3)(3x+10b^3)\)
- \(100y^2+180y+81=(10y+9)^2\)
- \(y^2+28y+196=(y+14)^2\)