Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121p^{4}+22p^2q+1q^2\)
- \(p^2-49\)
- \(64s^{8}+240s^4+225\)
- \(81x^2-256s^{12}\)
- \(196a^2-25\)
- \(b^2-9\)
- \(25p^{4}-140p^2+196\)
- \(100p^{4}+260p^2+169\)
- \(p^2-25\)
- \(9-16a^{10}\)
- \(100s^2-180s+81\)
- \(196b^{10}+252b^5p+81p^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121p^{4}+22p^2q+1q^2=(11p^2+q)^2\)
- \(p^2-49=(p-7)(p+7)\)
- \(64s^{8}+240s^4+225=(8s^4+15)^2\)
- \(81x^2-256s^{12}=(9x-16s^6)(9x+16s^6)\)
- \(196a^2-25=(14a+5)(14a-5)\)
- \(b^2-9=(b-3)(b+3)\)
- \(25p^{4}-140p^2+196=(5p^2-14)^2\)
- \(100p^{4}+260p^2+169=(10p^2+13)^2\)
- \(p^2-25=(p-5)(p+5)\)
- \(9-16a^{10}=(3-4a^5)(3+4a^5)\)
- \(100s^2-180s+81=(10s-9)^2\)
- \(196b^{10}+252b^5p+81p^2=(14b^5+9p)^2\)