Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(25a^{8}-90a^4s+81s^2\)
- \(169y^2-9b^{4}\)
- \(81p^{10}+252p^5+196\)
- \(x^2-16x+64\)
- \(49y^2-100s^{14}\)
- \(49a^{16}-225b^2\)
- \(y^2-144\)
- \(25p^{8}+10p^4s+1s^2\)
- \(196a^{4}+308a^2+121\)
- \(81a^{8}+18a^4+1\)
- \(x^2-121\)
- \(100b^{14}-9x^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(25a^{8}-90a^4s+81s^2=(5a^4-9s)^2\)
- \(169y^2-9b^{4}=(13y-3b^2)(13y+3b^2)\)
- \(81p^{10}+252p^5+196=(9p^5+14)^2\)
- \(x^2-16x+64=(x-8)^2\)
- \(49y^2-100s^{14}=(7y-10s^7)(7y+10s^7)\)
- \(49a^{16}-225b^2=(7a^8+15b)(7a^8-15b)\)
- \(y^2-144=(y-12)(y+12)\)
- \(25p^{8}+10p^4s+1s^2=(5p^4+s)^2\)
- \(196a^{4}+308a^2+121=(14a^2+11)^2\)
- \(81a^{8}+18a^4+1=(9a^4+1)^2\)
- \(x^2-121=(x-11)(x+11)\)
- \(100b^{14}-9x^2=(10b^7+3x)(10b^7-3x)\)