Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(b^2-16\)
- \(9q^{4}+60q^2x+100x^2\)
- \(64s^{8}+144s^4y+81y^2\)
- \(121p^{4}-144\)
- \(-4p^2+9\)
- \(121x^2+22x+1\)
- \(256b^2-1\)
- \(p^2-4p+4\)
- \(q^2+4q+4\)
- \(81a^2-25\)
- \(4p^2-225\)
- \(49q^2-144b^{4}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(b^2-16=(b-4)(b+4)\)
- \(9q^{4}+60q^2x+100x^2=(3q^2+10x)^2\)
- \(64s^{8}+144s^4y+81y^2=(8s^4+9y)^2\)
- \(121p^{4}-144=(11p^2+12)(11p^2-12)\)
- \(-4p^2+9=(3-2p)(3+2p)\)
- \(121x^2+22x+1=(11x+1)^2\)
- \(256b^2-1=(16b+1)(16b-1)\)
- \(p^2-4p+4=(p-2)^2\)
- \(q^2+4q+4=(q+2)^2\)
- \(81a^2-25=(9a+5)(9a-5)\)
- \(4p^2-225=(2p+15)(2p-15)\)
- \(49q^2-144b^{4}=(7q-12b^2)(7q+12b^2)\)