Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121b^{6}-1\)
- \(225-16s^{16}\)
- \(q^2-225\)
- \(1-100y^{8}\)
- \(64s^{14}-49\)
- \(-64s^2+225\)
- \(225b^{6}-4p^2\)
- \(q^2-81\)
- \(9a^{8}+42a^4q+49q^2\)
- \(64b^{6}+176b^3+121\)
- \(9x^2-16s^{10}\)
- \(25-256x^{14}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121b^{6}-1=(11b^3+1)(11b^3-1)\)
- \(225-16s^{16}=(15-4s^8)(15+4s^8)\)
- \(q^2-225=(q+15)(q-15)\)
- \(1-100y^{8}=(1-10y^4)(1+10y^4)\)
- \(64s^{14}-49=(8s^7+7)(8s^7-7)\)
- \(-64s^2+225=(15-8s)(15+8s)\)
- \(225b^{6}-4p^2=(15b^3+2p)(15b^3-2p)\)
- \(q^2-81=(q+9)(q-9)\)
- \(9a^{8}+42a^4q+49q^2=(3a^4+7q)^2\)
- \(64b^{6}+176b^3+121=(8b^3+11)^2\)
- \(9x^2-16s^{10}=(3x-4s^5)(3x+4s^5)\)
- \(25-256x^{14}=(5-16x^7)(5+16x^7)\)