Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49-16s^{4}\)
- \(b^2-81\)
- \(49p^2-9a^{10}\)
- \(16s^{4}-120s^2y+225y^2\)
- \(100s^{6}+140s^3y+49y^2\)
- \(36q^{10}-132q^5s+121s^2\)
- \(q^2-25\)
- \(a^2+28a+196\)
- \(49-256x^{14}\)
- \(36s^{12}-121x^2\)
- \(4q^{4}+4q^2+1\)
- \(25q^2-144a^{6}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49-16s^{4}=(7-4s^2)(7+4s^2)\)
- \(b^2-81=(b-9)(b+9)\)
- \(49p^2-9a^{10}=(7p-3a^5)(7p+3a^5)\)
- \(16s^{4}-120s^2y+225y^2=(4s^2-15y)^2\)
- \(100s^{6}+140s^3y+49y^2=(10s^3+7y)^2\)
- \(36q^{10}-132q^5s+121s^2=(6q^5-11s)^2\)
- \(q^2-25=(q+5)(q-5)\)
- \(a^2+28a+196=(a+14)^2\)
- \(49-256x^{14}=(7-16x^7)(7+16x^7)\)
- \(36s^{12}-121x^2=(6s^6+11x)(6s^6-11x)\)
- \(4q^{4}+4q^2+1=(2q^2+1)^2\)
- \(25q^2-144a^{6}=(5q-12a^3)(5q+12a^3)\)