Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100s^{8}-121\)
- \(y^2-2y+1\)
- \(q^2-1\)
- \(256a^{4}-288a^2s+81s^2\)
- \(121y^2+44y+4\)
- \(225a^{16}-49y^2\)
- \(144p^2+120p+25\)
- \(4a^{10}+4a^5+1\)
- \(-256a^2+25\)
- \(81b^{8}+72b^4+16\)
- \(-100s^2+81\)
- \(b^2-22b+121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100s^{8}-121=(10s^4+11)(10s^4-11)\)
- \(y^2-2y+1=(y-1)^2\)
- \(q^2-1=(q+1)(q-1)\)
- \(256a^{4}-288a^2s+81s^2=(16a^2-9s)^2\)
- \(121y^2+44y+4=(11y+2)^2\)
- \(225a^{16}-49y^2=(15a^8+7y)(15a^8-7y)\)
- \(144p^2+120p+25=(12p+5)^2\)
- \(4a^{10}+4a^5+1=(2a^5+1)^2\)
- \(-256a^2+25=(5-16a)(5+16a)\)
- \(81b^{8}+72b^4+16=(9b^4+4)^2\)
- \(-100s^2+81=(9-10s)(9+10s)\)
- \(b^2-22b+121=(b-11)^2\)