Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(q^2+8q+16\)
- \(25y^{10}-40y^5+16\)
- \(225a^{4}+330a^2b+121b^2\)
- \(81p^{6}-144p^3+64\)
- \(144p^{8}-264p^4+121\)
- \(p^2-225\)
- \(q^2-144\)
- \(b^2-196\)
- \(64a^{6}+16a^3b+1b^2\)
- \(b^2-25\)
- \(25x^{14}-64y^2\)
- \(121a^{8}+198a^4+81\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(q^2+8q+16=(q+4)^2\)
- \(25y^{10}-40y^5+16=(5y^5-4)^2\)
- \(225a^{4}+330a^2b+121b^2=(15a^2+11b)^2\)
- \(81p^{6}-144p^3+64=(9p^3-8)^2\)
- \(144p^{8}-264p^4+121=(12p^4-11)^2\)
- \(p^2-225=(p+15)(p-15)\)
- \(q^2-144=(q-12)(q+12)\)
- \(b^2-196=(b+14)(b-14)\)
- \(64a^{6}+16a^3b+1b^2=(8a^3+b)^2\)
- \(b^2-25=(b+5)(b-5)\)
- \(25x^{14}-64y^2=(5x^7+8y)(5x^7-8y)\)
- \(121a^{8}+198a^4+81=(11a^4+9)^2\)