Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9y^{10}+60y^5+100\)
- \(25-196p^{4}\)
- \(169-196b^{14}\)
- \(169b^2+26b+1\)
- \(q^2-28q+196\)
- \(4b^{4}+12b^2+9\)
- \(4a^{10}+4a^5+1\)
- \(169a^{6}+364a^3+196\)
- \(100y^2-60y+9\)
- \(p^2+10p+25\)
- \(144p^2-1\)
- \(196x^2+28x+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9y^{10}+60y^5+100=(3y^5+10)^2\)
- \(25-196p^{4}=(5-14p^2)(5+14p^2)\)
- \(169-196b^{14}=(13-14b^7)(13+14b^7)\)
- \(169b^2+26b+1=(13b+1)^2\)
- \(q^2-28q+196=(q-14)^2\)
- \(4b^{4}+12b^2+9=(2b^2+3)^2\)
- \(4a^{10}+4a^5+1=(2a^5+1)^2\)
- \(169a^{6}+364a^3+196=(13a^3+14)^2\)
- \(100y^2-60y+9=(10y-3)^2\)
- \(p^2+10p+25=(p+5)^2\)
- \(144p^2-1=(12p+1)(12p-1)\)
- \(196x^2+28x+1=(14x+1)^2\)