Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(169b^{6}-16p^2\)
- \(49y^{10}-84y^5+36\)
- \(b^2-12b+36\)
- \(36q^{8}-25x^2\)
- \(81b^{10}+198b^5q+121q^2\)
- \(256a^{6}+288a^3+81\)
- \(144p^{6}+312p^3y+169y^2\)
- \(196b^2+84b+9\)
- \(16p^2-56p+49\)
- \(100q^{4}-60q^2+9\)
- \(64p^2-225\)
- \(49y^2-121s^{16}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(169b^{6}-16p^2=(13b^3+4p)(13b^3-4p)\)
- \(49y^{10}-84y^5+36=(7y^5-6)^2\)
- \(b^2-12b+36=(b-6)^2\)
- \(36q^{8}-25x^2=(6q^4+5x)(6q^4-5x)\)
- \(81b^{10}+198b^5q+121q^2=(9b^5+11q)^2\)
- \(256a^{6}+288a^3+81=(16a^3+9)^2\)
- \(144p^{6}+312p^3y+169y^2=(12p^3+13y)^2\)
- \(196b^2+84b+9=(14b+3)^2\)
- \(16p^2-56p+49=(4p-7)^2\)
- \(100q^{4}-60q^2+9=(10q^2-3)^2\)
- \(64p^2-225=(8p+15)(8p-15)\)
- \(49y^2-121s^{16}=(7y-11s^8)(7y+11s^8)\)