Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(25s^2-20s+4\)
- \(y^2-10y+25\)
- \(-121x^2+81\)
- \(p^2-121\)
- \(25q^2+120q+144\)
- \(144p^{10}-168p^5+49\)
- \(9s^2-4p^{12}\)
- \(a^{4}-49s^2\)
- \(169p^{4}+52p^2x+4x^2\)
- \(256p^2-288p+81\)
- \(-225x^2+16\)
- \(36a^2-25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(25s^2-20s+4=(5s-2)^2\)
- \(y^2-10y+25=(y-5)^2\)
- \(-121x^2+81=(9-11x)(9+11x)\)
- \(p^2-121=(p+11)(p-11)\)
- \(25q^2+120q+144=(5q+12)^2\)
- \(144p^{10}-168p^5+49=(12p^5-7)^2\)
- \(9s^2-4p^{12}=(3s-2p^6)(3s+2p^6)\)
- \(a^{4}-49s^2=(a^2+7s)(a^2-7s)\)
- \(169p^{4}+52p^2x+4x^2=(13p^2+2x)^2\)
- \(256p^2-288p+81=(16p-9)^2\)
- \(-225x^2+16=(4-15x)(4+15x)\)
- \(36a^2-25=(6a+5)(6a-5)\)