Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121q^{10}-286q^5+169\)
- \(25x^2-256q^{6}\)
- \(25a^2+20a+4\)
- \(x^2-9\)
- \(1-16x^{8}\)
- \(9b^2-30b+25\)
- \(p^2-10p+25\)
- \(s^2-1\)
- \(169-64s^{16}\)
- \(169p^{6}+364p^3+196\)
- \(a^2-16a+64\)
- \(16q^2+8q+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121q^{10}-286q^5+169=(11q^5-13)^2\)
- \(25x^2-256q^{6}=(5x-16q^3)(5x+16q^3)\)
- \(25a^2+20a+4=(5a+2)^2\)
- \(x^2-9=(x-3)(x+3)\)
- \(1-16x^{8}=(1-4x^4)(1+4x^4)\)
- \(9b^2-30b+25=(3b-5)^2\)
- \(p^2-10p+25=(p-5)^2\)
- \(s^2-1=(s+1)(s-1)\)
- \(169-64s^{16}=(13-8s^8)(13+8s^8)\)
- \(169p^{6}+364p^3+196=(13p^3+14)^2\)
- \(a^2-16a+64=(a-8)^2\)
- \(16q^2+8q+1=(4q+1)^2\)