Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225s^{6}-60s^3+4\)
- \(169p^{12}-9x^2\)
- \(64b^{10}-208b^5+169\)
- \(x^2-10x+25\)
- \(b^2-14b+49\)
- \(100b^{8}-180b^4+81\)
- \(s^{12}-25x^2\)
- \(81b^{10}-16\)
- \(169a^{8}+286a^4s+121s^2\)
- \(y^2-20y+100\)
- \(s^2-4\)
- \(25b^{6}-49y^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225s^{6}-60s^3+4=(15s^3-2)^2\)
- \(169p^{12}-9x^2=(13p^6+3x)(13p^6-3x)\)
- \(64b^{10}-208b^5+169=(8b^5-13)^2\)
- \(x^2-10x+25=(x-5)^2\)
- \(b^2-14b+49=(b-7)^2\)
- \(100b^{8}-180b^4+81=(10b^4-9)^2\)
- \(s^{12}-25x^2=(s^6+5x)(s^6-5x)\)
- \(81b^{10}-16=(9b^5+4)(9b^5-4)\)
- \(169a^{8}+286a^4s+121s^2=(13a^4+11s)^2\)
- \(y^2-20y+100=(y-10)^2\)
- \(s^2-4=(s+2)(s-2)\)
- \(25b^{6}-49y^2=(5b^3+7y)(5b^3-7y)\)