Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(4s^{4}+20s^2+25\)
- \(196p^{6}+28p^3+1\)
- \(256b^{10}+32b^5s+1s^2\)
- \(16p^2+72p+81\)
- \(x^2-144\)
- \(64b^{10}+208b^5q+169q^2\)
- \(121x^2+110x+25\)
- \(225b^{16}-49\)
- \(100s^{10}-180s^5y+81y^2\)
- \(169s^{10}+156s^5+36\)
- \(-25s^2+49\)
- \(36p^{4}+12p^2+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(4s^{4}+20s^2+25=(2s^2+5)^2\)
- \(196p^{6}+28p^3+1=(14p^3+1)^2\)
- \(256b^{10}+32b^5s+1s^2=(16b^5+s)^2\)
- \(16p^2+72p+81=(4p+9)^2\)
- \(x^2-144=(x+12)(x-12)\)
- \(64b^{10}+208b^5q+169q^2=(8b^5+13q)^2\)
- \(121x^2+110x+25=(11x+5)^2\)
- \(225b^{16}-49=(15b^8+7)(15b^8-7)\)
- \(100s^{10}-180s^5y+81y^2=(10s^5-9y)^2\)
- \(169s^{10}+156s^5+36=(13s^5+6)^2\)
- \(-25s^2+49=(7-5s)(7+5s)\)
- \(36p^{4}+12p^2+1=(6p^2+1)^2\)