Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(p^2-8p+16\)
- \(25q^{8}-140q^4+196\)
- \(s^2+10s+25\)
- \(196a^{10}+140a^5+25\)
- \(144y^{4}-264y^2+121\)
- \(36p^2-25\)
- \(y^2-16\)
- \(169b^{16}-196\)
- \(49p^{6}+182p^3+169\)
- \(25a^2+110a+121\)
- \(144q^2-1\)
- \(64q^2-121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(p^2-8p+16=(p-4)^2\)
- \(25q^{8}-140q^4+196=(5q^4-14)^2\)
- \(s^2+10s+25=(s+5)^2\)
- \(196a^{10}+140a^5+25=(14a^5+5)^2\)
- \(144y^{4}-264y^2+121=(12y^2-11)^2\)
- \(36p^2-25=(6p+5)(6p-5)\)
- \(y^2-16=(y-4)(y+4)\)
- \(169b^{16}-196=(13b^8+14)(13b^8-14)\)
- \(49p^{6}+182p^3+169=(7p^3+13)^2\)
- \(25a^2+110a+121=(5a+11)^2\)
- \(144q^2-1=(12q+1)(12q-1)\)
- \(64q^2-121=(8q+11)(8q-11)\)