Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16p^{16}-49\)
- \(y^2-26y+169\)
- \(-169p^2+121\)
- \(64b^{4}-81p^2\)
- \(9q^{4}+42q^2s+49s^2\)
- \(-16x^2+25\)
- \(x^2-121\)
- \(49a^{16}-144b^2\)
- \(225-16s^{16}\)
- \(64p^{10}-49x^2\)
- \(a^2-4a+4\)
- \(144b^{10}+24b^5x+1x^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16p^{16}-49=(4p^8+7)(4p^8-7)\)
- \(y^2-26y+169=(y-13)^2\)
- \(-169p^2+121=(11-13p)(11+13p)\)
- \(64b^{4}-81p^2=(8b^2+9p)(8b^2-9p)\)
- \(9q^{4}+42q^2s+49s^2=(3q^2+7s)^2\)
- \(-16x^2+25=(5-4x)(5+4x)\)
- \(x^2-121=(x-11)(x+11)\)
- \(49a^{16}-144b^2=(7a^8+12b)(7a^8-12b)\)
- \(225-16s^{16}=(15-4s^8)(15+4s^8)\)
- \(64p^{10}-49x^2=(8p^5+7x)(8p^5-7x)\)
- \(a^2-4a+4=(a-2)^2\)
- \(144b^{10}+24b^5x+1x^2=(12b^5+x)^2\)