Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(b^2-1\)
- \(169-64s^{8}\)
- \(9q^{14}-100x^2\)
- \(81y^2+90y+25\)
- \(-9q^2+169\)
- \(169-9p^{16}\)
- \(q^2-100\)
- \(9s^{4}-48s^2+64\)
- \(25b^2-64a^{6}\)
- \(169p^2+364p+196\)
- \(9q^2-100\)
- \(49a^{6}-9q^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(b^2-1=(b+1)(b-1)\)
- \(169-64s^{8}=(13-8s^4)(13+8s^4)\)
- \(9q^{14}-100x^2=(3q^7+10x)(3q^7-10x)\)
- \(81y^2+90y+25=(9y+5)^2\)
- \(-9q^2+169=(13-3q)(13+3q)\)
- \(169-9p^{16}=(13-3p^8)(13+3p^8)\)
- \(q^2-100=(q-10)(q+10)\)
- \(9s^{4}-48s^2+64=(3s^2-8)^2\)
- \(25b^2-64a^{6}=(5b-8a^3)(5b+8a^3)\)
- \(169p^2+364p+196=(13p+14)^2\)
- \(9q^2-100=(3q+10)(3q-10)\)
- \(49a^{6}-9q^2=(7a^3+3q)(7a^3-3q)\)