Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121-64y^{8}\)
- \(49a^2-84a+36\)
- \(169a^2-9\)
- \(36a^{10}-132a^5y+121y^2\)
- \(49-144x^{4}\)
- \(256x^2-288x+81\)
- \(64x^{10}+144x^5+81\)
- \(81x^2-49b^{8}\)
- \(16y^2-81b^{4}\)
- \(121-144p^{12}\)
- \(36y^2+12y+1\)
- \(x^2-4x+4\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121-64y^{8}=(11-8y^4)(11+8y^4)\)
- \(49a^2-84a+36=(7a-6)^2\)
- \(169a^2-9=(13a+3)(13a-3)\)
- \(36a^{10}-132a^5y+121y^2=(6a^5-11y)^2\)
- \(49-144x^{4}=(7-12x^2)(7+12x^2)\)
- \(256x^2-288x+81=(16x-9)^2\)
- \(64x^{10}+144x^5+81=(8x^5+9)^2\)
- \(81x^2-49b^{8}=(9x-7b^4)(9x+7b^4)\)
- \(16y^2-81b^{4}=(4y-9b^2)(4y+9b^2)\)
- \(121-144p^{12}=(11-12p^6)(11+12p^6)\)
- \(36y^2+12y+1=(6y+1)^2\)
- \(x^2-4x+4=(x-2)^2\)