Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(a^2-28a+196\)
- \(121-81a^{6}\)
- \(4a^{14}-169q^2\)
- \(64y^2-80y+25\)
- \(256p^{10}+32p^5+1\)
- \(x^2-36\)
- \(9s^2-30s+25\)
- \(s^2-10s+25\)
- \(64q^{8}-240q^4s+225s^2\)
- \(25x^{4}-40x^2+16\)
- \(1-256s^{14}\)
- \(64q^{6}-112q^3x+49x^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(a^2-28a+196=(a-14)^2\)
- \(121-81a^{6}=(11-9a^3)(11+9a^3)\)
- \(4a^{14}-169q^2=(2a^7+13q)(2a^7-13q)\)
- \(64y^2-80y+25=(8y-5)^2\)
- \(256p^{10}+32p^5+1=(16p^5+1)^2\)
- \(x^2-36=(x-6)(x+6)\)
- \(9s^2-30s+25=(3s-5)^2\)
- \(s^2-10s+25=(s-5)^2\)
- \(64q^{8}-240q^4s+225s^2=(8q^4-15s)^2\)
- \(25x^{4}-40x^2+16=(5x^2-4)^2\)
- \(1-256s^{14}=(1-16s^7)(1+16s^7)\)
- \(64q^{6}-112q^3x+49x^2=(8q^3-7x)^2\)