Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121a^{8}-44a^4q+4q^2\)
- \(x^2-30x+225\)
- \(-256q^2+49\)
- \(121p^{8}-176p^4+64\)
- \(s^2-64\)
- \(100p^{10}-260p^5+169\)
- \(100y^{4}+140y^2+49\)
- \(121q^{8}-220q^4x+100x^2\)
- \(225q^{8}-420q^4y+196y^2\)
- \(y^2-225\)
- \(225x^2-49\)
- \(1-36a^{10}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121a^{8}-44a^4q+4q^2=(11a^4-2q)^2\)
- \(x^2-30x+225=(x-15)^2\)
- \(-256q^2+49=(7-16q)(7+16q)\)
- \(121p^{8}-176p^4+64=(11p^4-8)^2\)
- \(s^2-64=(s+8)(s-8)\)
- \(100p^{10}-260p^5+169=(10p^5-13)^2\)
- \(100y^{4}+140y^2+49=(10y^2+7)^2\)
- \(121q^{8}-220q^4x+100x^2=(11q^4-10x)^2\)
- \(225q^{8}-420q^4y+196y^2=(15q^4-14y)^2\)
- \(y^2-225=(y+15)(y-15)\)
- \(225x^2-49=(15x+7)(15x-7)\)
- \(1-36a^{10}=(1-6a^5)(1+6a^5)\)