Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(169a^{4}-4\)
- \(a^2-144\)
- \(49a^{8}+56a^4b+16b^2\)
- \(s^2-16\)
- \(-225y^2+121\)
- \(25q^{10}-90q^5+81\)
- \(81y^2-72y+16\)
- \(4q^2+36q+81\)
- \(1-121a^{10}\)
- \(121q^2-144\)
- \(9q^{4}-16y^2\)
- \(x^2-16x+64\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(169a^{4}-4=(13a^2+2)(13a^2-2)\)
- \(a^2-144=(a+12)(a-12)\)
- \(49a^{8}+56a^4b+16b^2=(7a^4+4b)^2\)
- \(s^2-16=(s-4)(s+4)\)
- \(-225y^2+121=(11-15y)(11+15y)\)
- \(25q^{10}-90q^5+81=(5q^5-9)^2\)
- \(81y^2-72y+16=(9y-4)^2\)
- \(4q^2+36q+81=(2q+9)^2\)
- \(1-121a^{10}=(1-11a^5)(1+11a^5)\)
- \(121q^2-144=(11q+12)(11q-12)\)
- \(9q^{4}-16y^2=(3q^2+4y)(3q^2-4y)\)
- \(x^2-16x+64=(x-8)^2\)