Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(q^2+22q+121\)
- \(49-36x^{16}\)
- \(196s^2+420s+225\)
- \(144y^{6}-168y^3+49\)
- \(225y^{6}+30y^3+1\)
- \(a^2-4a+4\)
- \(144p^{12}-1\)
- \(64a^{4}-112a^2+49\)
- \(64-169q^{14}\)
- \(9y^2-100\)
- \(49s^2-84s+36\)
- \(9p^2-49a^{8}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(q^2+22q+121=(q+11)^2\)
- \(49-36x^{16}=(7-6x^8)(7+6x^8)\)
- \(196s^2+420s+225=(14s+15)^2\)
- \(144y^{6}-168y^3+49=(12y^3-7)^2\)
- \(225y^{6}+30y^3+1=(15y^3+1)^2\)
- \(a^2-4a+4=(a-2)^2\)
- \(144p^{12}-1=(12p^6+1)(12p^6-1)\)
- \(64a^{4}-112a^2+49=(8a^2-7)^2\)
- \(64-169q^{14}=(8-13q^7)(8+13q^7)\)
- \(9y^2-100=(3y+10)(3y-10)\)
- \(49s^2-84s+36=(7s-6)^2\)
- \(9p^2-49a^{8}=(3p-7a^4)(3p+7a^4)\)