Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121a^{4}-110a^2q+25q^2\)
- \(4a^2+4a+1\)
- \(y^2+6y+9\)
- \(196q^2+28q+1\)
- \(-256s^2+169\)
- \(p^2-4\)
- \(196a^{4}+84a^2s+9s^2\)
- \(9p^2-16\)
- \(a^2+30a+225\)
- \(49q^{16}-81\)
- \(81p^{12}-16\)
- \(p^2-25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121a^{4}-110a^2q+25q^2=(11a^2-5q)^2\)
- \(4a^2+4a+1=(2a+1)^2\)
- \(y^2+6y+9=(y+3)^2\)
- \(196q^2+28q+1=(14q+1)^2\)
- \(-256s^2+169=(13-16s)(13+16s)\)
- \(p^2-4=(p+2)(p-2)\)
- \(196a^{4}+84a^2s+9s^2=(14a^2+3s)^2\)
- \(9p^2-16=(3p+4)(3p-4)\)
- \(a^2+30a+225=(a+15)^2\)
- \(49q^{16}-81=(7q^8+9)(7q^8-9)\)
- \(81p^{12}-16=(9p^6+4)(9p^6-4)\)
- \(p^2-25=(p+5)(p-5)\)