Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225p^{6}-210p^3s+49s^2\)
- \(81b^{8}+18b^4+1\)
- \(196q^{10}-252q^5+81\)
- \(p^2+26p+169\)
- \(x^2-1\)
- \(p^2+4p+4\)
- \(144s^2-264s+121\)
- \(100q^2-60q+9\)
- \(4s^2-121\)
- \(-9p^2+196\)
- \(16-49y^{4}\)
- \(9p^{8}-100\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225p^{6}-210p^3s+49s^2=(15p^3-7s)^2\)
- \(81b^{8}+18b^4+1=(9b^4+1)^2\)
- \(196q^{10}-252q^5+81=(14q^5-9)^2\)
- \(p^2+26p+169=(p+13)^2\)
- \(x^2-1=(x+1)(x-1)\)
- \(p^2+4p+4=(p+2)^2\)
- \(144s^2-264s+121=(12s-11)^2\)
- \(100q^2-60q+9=(10q-3)^2\)
- \(4s^2-121=(2s+11)(2s-11)\)
- \(-9p^2+196=(14-3p)(14+3p)\)
- \(16-49y^{4}=(4-7y^2)(4+7y^2)\)
- \(9p^{8}-100=(3p^4+10)(3p^4-10)\)