Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(144s^2-25\)
- \(100y^2+140y+49\)
- \(a^2-144\)
- \(1-225a^{12}\)
- \(p^2+2p+1\)
- \(169s^{8}-121x^2\)
- \(121y^{8}-352y^4+256\)
- \(16s^{4}+8s^2+1\)
- \(196a^2-308a+121\)
- \(25q^{4}+30q^2+9\)
- \(100s^{14}-1\)
- \(49s^{8}-140s^4+100\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(144s^2-25=(12s+5)(12s-5)\)
- \(100y^2+140y+49=(10y+7)^2\)
- \(a^2-144=(a-12)(a+12)\)
- \(1-225a^{12}=(1-15a^6)(1+15a^6)\)
- \(p^2+2p+1=(p+1)^2\)
- \(169s^{8}-121x^2=(13s^4+11x)(13s^4-11x)\)
- \(121y^{8}-352y^4+256=(11y^4-16)^2\)
- \(16s^{4}+8s^2+1=(4s^2+1)^2\)
- \(196a^2-308a+121=(14a-11)^2\)
- \(25q^{4}+30q^2+9=(5q^2+3)^2\)
- \(100s^{14}-1=(10s^7+1)(10s^7-1)\)
- \(49s^{8}-140s^4+100=(7s^4-10)^2\)