Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225p^{8}-121s^2\)
- \(4y^2-121\)
- \(4s^{14}-225\)
- \(q^2-64\)
- \(196y^2-169a^{4}\)
- \(169s^2-25a^{10}\)
- \(25-121s^{16}\)
- \(64p^2-9\)
- \(p^2-225\)
- \(4a^2-49\)
- \(b^2+2b+1\)
- \(49a^2-84a+36\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225p^{8}-121s^2=(15p^4+11s)(15p^4-11s)\)
- \(4y^2-121=(2y+11)(2y-11)\)
- \(4s^{14}-225=(2s^7+15)(2s^7-15)\)
- \(q^2-64=(q-8)(q+8)\)
- \(196y^2-169a^{4}=(14y-13a^2)(14y+13a^2)\)
- \(169s^2-25a^{10}=(13s-5a^5)(13s+5a^5)\)
- \(25-121s^{16}=(5-11s^8)(5+11s^8)\)
- \(64p^2-9=(8p+3)(8p-3)\)
- \(p^2-225=(p+15)(p-15)\)
- \(4a^2-49=(2a+7)(2a-7)\)
- \(b^2+2b+1=(b+1)^2\)
- \(49a^2-84a+36=(7a-6)^2\)