Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121q^2-225b^{14}\)
- \(225q^{16}-1\)
- \(y^2+12y+36\)
- \(b^2-169\)
- \(9x^2+6x+1\)
- \(49a^{8}+14a^4p+1p^2\)
- \(-256b^2+169\)
- \(100b^2-81\)
- \(64s^{16}-225\)
- \(256x^{4}-160x^2+25\)
- \(s^2-225\)
- \(144b^{8}+24b^4y+1y^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121q^2-225b^{14}=(11q-15b^7)(11q+15b^7)\)
- \(225q^{16}-1=(15q^8+1)(15q^8-1)\)
- \(y^2+12y+36=(y+6)^2\)
- \(b^2-169=(b+13)(b-13)\)
- \(9x^2+6x+1=(3x+1)^2\)
- \(49a^{8}+14a^4p+1p^2=(7a^4+p)^2\)
- \(-256b^2+169=(13-16b)(13+16b)\)
- \(100b^2-81=(10b+9)(10b-9)\)
- \(64s^{16}-225=(8s^8+15)(8s^8-15)\)
- \(256x^{4}-160x^2+25=(16x^2-5)^2\)
- \(s^2-225=(s+15)(s-15)\)
- \(144b^{8}+24b^4y+1y^2=(12b^4+y)^2\)