Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100p^{6}-180p^3x+81x^2\)
- \(64p^{4}+176p^2s+121s^2\)
- \(a^{4}-100q^2\)
- \(81p^{8}+252p^4+196\)
- \(100a^{4}+20a^2s+1s^2\)
- \(49s^{14}-16x^2\)
- \(100s^2-260s+169\)
- \(16b^{6}-88b^3+121\)
- \(196-169b^{6}\)
- \(121b^2-352b+256\)
- \(-225p^2+64\)
- \(64p^2+48p+9\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100p^{6}-180p^3x+81x^2=(10p^3-9x)^2\)
- \(64p^{4}+176p^2s+121s^2=(8p^2+11s)^2\)
- \(a^{4}-100q^2=(a^2+10q)(a^2-10q)\)
- \(81p^{8}+252p^4+196=(9p^4+14)^2\)
- \(100a^{4}+20a^2s+1s^2=(10a^2+s)^2\)
- \(49s^{14}-16x^2=(7s^7+4x)(7s^7-4x)\)
- \(100s^2-260s+169=(10s-13)^2\)
- \(16b^{6}-88b^3+121=(4b^3-11)^2\)
- \(196-169b^{6}=(14-13b^3)(14+13b^3)\)
- \(121b^2-352b+256=(11b-16)^2\)
- \(-225p^2+64=(8-15p)(8+15p)\)
- \(64p^2+48p+9=(8p+3)^2\)