Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225b^{10}-210b^5q+49q^2\)
- \(b^2+18b+81\)
- \(64s^{16}-225y^2\)
- \(169s^2+78s+9\)
- \(81s^2-16\)
- \(256a^{10}-288a^5+81\)
- \(b^2-49\)
- \(a^2-22a+121\)
- \(16y^2-88y+121\)
- \(49-25s^{14}\)
- \(225p^{8}-64s^2\)
- \(121a^{6}-110a^3+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225b^{10}-210b^5q+49q^2=(15b^5-7q)^2\)
- \(b^2+18b+81=(b+9)^2\)
- \(64s^{16}-225y^2=(8s^8+15y)(8s^8-15y)\)
- \(169s^2+78s+9=(13s+3)^2\)
- \(81s^2-16=(9s+4)(9s-4)\)
- \(256a^{10}-288a^5+81=(16a^5-9)^2\)
- \(b^2-49=(b+7)(b-7)\)
- \(a^2-22a+121=(a-11)^2\)
- \(16y^2-88y+121=(4y-11)^2\)
- \(49-25s^{14}=(7-5s^7)(7+5s^7)\)
- \(225p^{8}-64s^2=(15p^4+8s)(15p^4-8s)\)
- \(121a^{6}-110a^3+25=(11a^3-5)^2\)