Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(169q^{6}-156q^3y+36y^2\)
- \(s^2-144\)
- \(100y^2-49\)
- \(9x^2-1\)
- \(36b^{4}-60b^2p+25p^2\)
- \(144p^2-264p+121\)
- \(225x^2+210x+49\)
- \(121y^2-225p^{8}\)
- \(q^2+20q+100\)
- \(9p^{10}-66p^5+121\)
- \(256x^2-121\)
- \(144y^{8}-49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(169q^{6}-156q^3y+36y^2=(13q^3-6y)^2\)
- \(s^2-144=(s+12)(s-12)\)
- \(100y^2-49=(10y+7)(10y-7)\)
- \(9x^2-1=(3x+1)(3x-1)\)
- \(36b^{4}-60b^2p+25p^2=(6b^2-5p)^2\)
- \(144p^2-264p+121=(12p-11)^2\)
- \(225x^2+210x+49=(15x+7)^2\)
- \(121y^2-225p^{8}=(11y-15p^4)(11y+15p^4)\)
- \(q^2+20q+100=(q+10)^2\)
- \(9p^{10}-66p^5+121=(3p^5-11)^2\)
- \(256x^2-121=(16x+11)(16x-11)\)
- \(144y^{8}-49=(12y^4+7)(12y^4-7)\)