Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16s^2-25q^{8}\)
- \(4p^{4}+52p^2+169\)
- \(9s^{4}+78s^2+169\)
- \(196p^{8}-81s^2\)
- \(169s^{4}-312s^2+144\)
- \(144a^{8}-1\)
- \(144b^{6}+120b^3+25\)
- \(16x^{10}+24x^5+9\)
- \(256q^2-1\)
- \(b^2-16b+64\)
- \(81q^2-16\)
- \(36s^{10}-132s^5y+121y^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16s^2-25q^{8}=(4s-5q^4)(4s+5q^4)\)
- \(4p^{4}+52p^2+169=(2p^2+13)^2\)
- \(9s^{4}+78s^2+169=(3s^2+13)^2\)
- \(196p^{8}-81s^2=(14p^4+9s)(14p^4-9s)\)
- \(169s^{4}-312s^2+144=(13s^2-12)^2\)
- \(144a^{8}-1=(12a^4+1)(12a^4-1)\)
- \(144b^{6}+120b^3+25=(12b^3+5)^2\)
- \(16x^{10}+24x^5+9=(4x^5+3)^2\)
- \(256q^2-1=(16q+1)(16q-1)\)
- \(b^2-16b+64=(b-8)^2\)
- \(81q^2-16=(9q+4)(9q-4)\)
- \(36s^{10}-132s^5y+121y^2=(6s^5-11y)^2\)