Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(y^2-20y+100\)
- \(49-100y^{6}\)
- \(1-225p^{8}\)
- \(y^2+20y+100\)
- \(49-25s^{16}\)
- \(9p^{10}+6p^5x+1x^2\)
- \(64q^{4}+240q^2s+225s^2\)
- \(144s^2-49q^{10}\)
- \(49-81b^{12}\)
- \(169x^2-36a^{14}\)
- \(225x^2-64p^{10}\)
- \(169x^{6}-156x^3+36\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(y^2-20y+100=(y-10)^2\)
- \(49-100y^{6}=(7-10y^3)(7+10y^3)\)
- \(1-225p^{8}=(1-15p^4)(1+15p^4)\)
- \(y^2+20y+100=(y+10)^2\)
- \(49-25s^{16}=(7-5s^8)(7+5s^8)\)
- \(9p^{10}+6p^5x+1x^2=(3p^5+x)^2\)
- \(64q^{4}+240q^2s+225s^2=(8q^2+15s)^2\)
- \(144s^2-49q^{10}=(12s-7q^5)(12s+7q^5)\)
- \(49-81b^{12}=(7-9b^6)(7+9b^6)\)
- \(169x^2-36a^{14}=(13x-6a^7)(13x+6a^7)\)
- \(225x^2-64p^{10}=(15x-8p^5)(15x+8p^5)\)
- \(169x^{6}-156x^3+36=(13x^3-6)^2\)