Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(81x^{8}+18x^4+1\)
- \(169s^{6}-156s^3x+36x^2\)
- \(196s^2-121\)
- \(169p^{8}-196\)
- \(4q^{12}-25\)
- \(169y^2-390y+225\)
- \(64a^{4}+48a^2x+9x^2\)
- \(x^2-16\)
- \(1-9b^{10}\)
- \(225p^{6}-4q^2\)
- \(y^2-49\)
- \(s^2-28s+196\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(81x^{8}+18x^4+1=(9x^4+1)^2\)
- \(169s^{6}-156s^3x+36x^2=(13s^3-6x)^2\)
- \(196s^2-121=(14s+11)(14s-11)\)
- \(169p^{8}-196=(13p^4+14)(13p^4-14)\)
- \(4q^{12}-25=(2q^6+5)(2q^6-5)\)
- \(169y^2-390y+225=(13y-15)^2\)
- \(64a^{4}+48a^2x+9x^2=(8a^2+3x)^2\)
- \(x^2-16=(x-4)(x+4)\)
- \(1-9b^{10}=(1-3b^5)(1+3b^5)\)
- \(225p^{6}-4q^2=(15p^3+2q)(15p^3-2q)\)
- \(y^2-49=(y-7)(y+7)\)
- \(s^2-28s+196=(s-14)^2\)