Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(4x^2+4x+1\)
- \(49y^2-36x^{16}\)
- \(p^2-4\)
- \(9s^{6}-12s^3x+4x^2\)
- \(s^2+18s+81\)
- \(36x^{6}-121\)
- \(36a^2+12a+1\)
- \(-49y^2+25\)
- \(121p^2-196\)
- \(25a^{8}-120a^4q+144q^2\)
- \(25y^2-90y+81\)
- \(144b^{10}-168b^5s+49s^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(4x^2+4x+1=(2x+1)^2\)
- \(49y^2-36x^{16}=(7y-6x^8)(7y+6x^8)\)
- \(p^2-4=(p-2)(p+2)\)
- \(9s^{6}-12s^3x+4x^2=(3s^3-2x)^2\)
- \(s^2+18s+81=(s+9)^2\)
- \(36x^{6}-121=(6x^3+11)(6x^3-11)\)
- \(36a^2+12a+1=(6a+1)^2\)
- \(-49y^2+25=(5-7y)(5+7y)\)
- \(121p^2-196=(11p+14)(11p-14)\)
- \(25a^{8}-120a^4q+144q^2=(5a^4-12q)^2\)
- \(25y^2-90y+81=(5y-9)^2\)
- \(144b^{10}-168b^5s+49s^2=(12b^5-7s)^2\)