Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(a^{8}-49q^2\)
- \(36s^{4}+60s^2x+25x^2\)
- \(49b^{8}-225\)
- \(144b^{8}-264b^4y+121y^2\)
- \(100x^2+220x+121\)
- \(9a^{8}+6a^4+1\)
- \(p^2+10p+25\)
- \(x^2-20x+100\)
- \(169x^2-36a^{16}\)
- \(256a^{8}-288a^4b+81b^2\)
- \(s^2-22s+121\)
- \(225x^2-121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(a^{8}-49q^2=(a^4+7q)(a^4-7q)\)
- \(36s^{4}+60s^2x+25x^2=(6s^2+5x)^2\)
- \(49b^{8}-225=(7b^4+15)(7b^4-15)\)
- \(144b^{8}-264b^4y+121y^2=(12b^4-11y)^2\)
- \(100x^2+220x+121=(10x+11)^2\)
- \(9a^{8}+6a^4+1=(3a^4+1)^2\)
- \(p^2+10p+25=(p+5)^2\)
- \(x^2-20x+100=(x-10)^2\)
- \(169x^2-36a^{16}=(13x-6a^8)(13x+6a^8)\)
- \(256a^{8}-288a^4b+81b^2=(16a^4-9b)^2\)
- \(s^2-22s+121=(s-11)^2\)
- \(225x^2-121=(15x+11)(15x-11)\)