Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16p^{10}-88p^5q+121q^2\)
- \(b^2-196\)
- \(100q^2-9a^{16}\)
- \(100-81b^{16}\)
- \(4b^{12}-121s^2\)
- \(36p^2-b^{6}\)
- \(25x^2-144b^{16}\)
- \(y^2-6y+9\)
- \(144q^{10}+312q^5x+169x^2\)
- \(36a^2-1\)
- \(196x^2-81a^{6}\)
- \(4s^{10}-49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16p^{10}-88p^5q+121q^2=(4p^5-11q)^2\)
- \(b^2-196=(b+14)(b-14)\)
- \(100q^2-9a^{16}=(10q-3a^8)(10q+3a^8)\)
- \(100-81b^{16}=(10-9b^8)(10+9b^8)\)
- \(4b^{12}-121s^2=(2b^6+11s)(2b^6-11s)\)
- \(36p^2-b^{6}=(6p-b^3)(6p+b^3)\)
- \(25x^2-144b^{16}=(5x-12b^8)(5x+12b^8)\)
- \(y^2-6y+9=(y-3)^2\)
- \(144q^{10}+312q^5x+169x^2=(12q^5+13x)^2\)
- \(36a^2-1=(6a+1)(6a-1)\)
- \(196x^2-81a^{6}=(14x-9a^3)(14x+9a^3)\)
- \(4s^{10}-49=(2s^5+7)(2s^5-7)\)