Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(-81q^2+1\)
- \(25-121p^{10}\)
- \(4a^2+4a+1\)
- \(100p^2-1\)
- \(196p^{10}+252p^5+81\)
- \(y^2-144\)
- \(144a^{16}-25\)
- \(169a^2-196\)
- \(25s^{4}-64\)
- \(196p^{14}-9q^2\)
- \(144x^{4}+120x^2+25\)
- \(169-36x^{8}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(-81q^2+1=(1-9q)(1+9q)\)
- \(25-121p^{10}=(5-11p^5)(5+11p^5)\)
- \(4a^2+4a+1=(2a+1)^2\)
- \(100p^2-1=(10p+1)(10p-1)\)
- \(196p^{10}+252p^5+81=(14p^5+9)^2\)
- \(y^2-144=(y-12)(y+12)\)
- \(144a^{16}-25=(12a^8+5)(12a^8-5)\)
- \(169a^2-196=(13a+14)(13a-14)\)
- \(25s^{4}-64=(5s^2+8)(5s^2-8)\)
- \(196p^{14}-9q^2=(14p^7+3q)(14p^7-3q)\)
- \(144x^{4}+120x^2+25=(12x^2+5)^2\)
- \(169-36x^{8}=(13-6x^4)(13+6x^4)\)