Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(169q^{6}+78q^3s+9s^2\)
- \(x^2-6x+9\)
- \(36s^{6}-132s^3+121\)
- \(256y^{10}-49\)
- \(p^2+10p+25\)
- \(36q^2-121\)
- \(q^2-64\)
- \(121-64p^{8}\)
- \(-144p^2+25\)
- \(9s^2-64a^{6}\)
- \(16a^{10}-81y^2\)
- \(64-121q^{12}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(169q^{6}+78q^3s+9s^2=(13q^3+3s)^2\)
- \(x^2-6x+9=(x-3)^2\)
- \(36s^{6}-132s^3+121=(6s^3-11)^2\)
- \(256y^{10}-49=(16y^5+7)(16y^5-7)\)
- \(p^2+10p+25=(p+5)^2\)
- \(36q^2-121=(6q+11)(6q-11)\)
- \(q^2-64=(q+8)(q-8)\)
- \(121-64p^{8}=(11-8p^4)(11+8p^4)\)
- \(-144p^2+25=(5-12p)(5+12p)\)
- \(9s^2-64a^{6}=(3s-8a^3)(3s+8a^3)\)
- \(16a^{10}-81y^2=(4a^5+9y)(4a^5-9y)\)
- \(64-121q^{12}=(8-11q^6)(8+11q^6)\)