Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(q^2+18q+81\)
- \(16q^2-9\)
- \(121x^{10}-81\)
- \(169a^{10}-156a^5p+36p^2\)
- \(25-64a^{6}\)
- \(q^2-18q+81\)
- \(36b^2+12b+1\)
- \(169y^{10}-1\)
- \(225-49q^{16}\)
- \(16a^{10}-24a^5+9\)
- \(49-169y^{16}\)
- \(-256p^2+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(q^2+18q+81=(q+9)^2\)
- \(16q^2-9=(4q+3)(4q-3)\)
- \(121x^{10}-81=(11x^5+9)(11x^5-9)\)
- \(169a^{10}-156a^5p+36p^2=(13a^5-6p)^2\)
- \(25-64a^{6}=(5-8a^3)(5+8a^3)\)
- \(q^2-18q+81=(q-9)^2\)
- \(36b^2+12b+1=(6b+1)^2\)
- \(169y^{10}-1=(13y^5+1)(13y^5-1)\)
- \(225-49q^{16}=(15-7q^8)(15+7q^8)\)
- \(16a^{10}-24a^5+9=(4a^5-3)^2\)
- \(49-169y^{16}=(7-13y^8)(7+13y^8)\)
- \(-256p^2+49=(7-16p)(7+16p)\)