Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(81a^{4}-234a^2b+169b^2\)
- \(4a^{10}-9s^2\)
- \(9p^{4}+84p^2+196\)
- \(-81y^2+64\)
- \(196b^2+140b+25\)
- \(p^2-8p+16\)
- \(y^2-2y+1\)
- \(64p^2+208p+169\)
- \(-16a^2+81\)
- \(9b^{6}+24b^3+16\)
- \(b^2-26b+169\)
- \(4b^{4}+4b^2s+1s^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(81a^{4}-234a^2b+169b^2=(9a^2-13b)^2\)
- \(4a^{10}-9s^2=(2a^5+3s)(2a^5-3s)\)
- \(9p^{4}+84p^2+196=(3p^2+14)^2\)
- \(-81y^2+64=(8-9y)(8+9y)\)
- \(196b^2+140b+25=(14b+5)^2\)
- \(p^2-8p+16=(p-4)^2\)
- \(y^2-2y+1=(y-1)^2\)
- \(64p^2+208p+169=(8p+13)^2\)
- \(-16a^2+81=(9-4a)(9+4a)\)
- \(9b^{6}+24b^3+16=(3b^3+4)^2\)
- \(b^2-26b+169=(b-13)^2\)
- \(4b^{4}+4b^2s+1s^2=(2b^2+s)^2\)