Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100x^2-49q^{6}\)
- \(49y^{8}-182y^4+169\)
- \(q^2+26q+169\)
- \(64y^{10}-81\)
- \(81y^{4}+144y^2+64\)
- \(25a^{6}-20a^3s+4s^2\)
- \(16b^2-9\)
- \(y^2-121\)
- \(196a^{10}-364a^5+169\)
- \(p^2-81\)
- \(49s^2-28s+4\)
- \(x^2-6x+9\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100x^2-49q^{6}=(10x-7q^3)(10x+7q^3)\)
- \(49y^{8}-182y^4+169=(7y^4-13)^2\)
- \(q^2+26q+169=(q+13)^2\)
- \(64y^{10}-81=(8y^5+9)(8y^5-9)\)
- \(81y^{4}+144y^2+64=(9y^2+8)^2\)
- \(25a^{6}-20a^3s+4s^2=(5a^3-2s)^2\)
- \(16b^2-9=(4b+3)(4b-3)\)
- \(y^2-121=(y-11)(y+11)\)
- \(196a^{10}-364a^5+169=(14a^5-13)^2\)
- \(p^2-81=(p+9)(p-9)\)
- \(49s^2-28s+4=(7s-2)^2\)
- \(x^2-6x+9=(x-3)^2\)