Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100y^{4}-180y^2+81\)
- \(121x^{4}+286x^2y+169y^2\)
- \(36a^{4}-60a^2+25\)
- \(16a^2-56a+49\)
- \(-225a^2+1\)
- \(256q^2-225\)
- \(b^2-49\)
- \(-121x^2+49\)
- \(49y^2+154y+121\)
- \(p^2+18p+81\)
- \(49q^2-100p^{16}\)
- \(64q^{4}+176q^2+121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100y^{4}-180y^2+81=(10y^2-9)^2\)
- \(121x^{4}+286x^2y+169y^2=(11x^2+13y)^2\)
- \(36a^{4}-60a^2+25=(6a^2-5)^2\)
- \(16a^2-56a+49=(4a-7)^2\)
- \(-225a^2+1=(1-15a)(1+15a)\)
- \(256q^2-225=(16q+15)(16q-15)\)
- \(b^2-49=(b+7)(b-7)\)
- \(-121x^2+49=(7-11x)(7+11x)\)
- \(49y^2+154y+121=(7y+11)^2\)
- \(p^2+18p+81=(p+9)^2\)
- \(49q^2-100p^{16}=(7q-10p^8)(7q+10p^8)\)
- \(64q^{4}+176q^2+121=(8q^2+11)^2\)