Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225x^2-p^{14}\)
- \(9b^2-12b+4\)
- \(169s^2-49\)
- \(196s^{8}+28s^4+1\)
- \(1-36q^{14}\)
- \(q^2+2q+1\)
- \(100p^{16}-1\)
- \(a^2-12a+36\)
- \(81x^{4}+234x^2+169\)
- \(-16y^2+49\)
- \(36y^2-25p^{14}\)
- \(-16x^2+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225x^2-p^{14}=(15x-p^7)(15x+p^7)\)
- \(9b^2-12b+4=(3b-2)^2\)
- \(169s^2-49=(13s+7)(13s-7)\)
- \(196s^{8}+28s^4+1=(14s^4+1)^2\)
- \(1-36q^{14}=(1-6q^7)(1+6q^7)\)
- \(q^2+2q+1=(q+1)^2\)
- \(100p^{16}-1=(10p^8+1)(10p^8-1)\)
- \(a^2-12a+36=(a-6)^2\)
- \(81x^{4}+234x^2+169=(9x^2+13)^2\)
- \(-16y^2+49=(7-4y)(7+4y)\)
- \(36y^2-25p^{14}=(6y-5p^7)(6y+5p^7)\)
- \(-16x^2+1=(1-4x)(1+4x)\)