Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121a^{8}-110a^4x+25x^2\)
- \(81p^{4}+252p^2+196\)
- \(49-4q^{14}\)
- \(25b^{6}+30b^3+9\)
- \(121x^2-44x+4\)
- \(b^{10}-25s^2\)
- \(196x^2-9a^{16}\)
- \(s^2-36\)
- \(q^2-169\)
- \(100p^2-9\)
- \(64s^2+16s+1\)
- \(49p^2-1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121a^{8}-110a^4x+25x^2=(11a^4-5x)^2\)
- \(81p^{4}+252p^2+196=(9p^2+14)^2\)
- \(49-4q^{14}=(7-2q^7)(7+2q^7)\)
- \(25b^{6}+30b^3+9=(5b^3+3)^2\)
- \(121x^2-44x+4=(11x-2)^2\)
- \(b^{10}-25s^2=(b^5+5s)(b^5-5s)\)
- \(196x^2-9a^{16}=(14x-3a^8)(14x+3a^8)\)
- \(s^2-36=(s-6)(s+6)\)
- \(q^2-169=(q+13)(q-13)\)
- \(100p^2-9=(10p+3)(10p-3)\)
- \(64s^2+16s+1=(8s+1)^2\)
- \(49p^2-1=(7p+1)(7p-1)\)