Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49-64a^{12}\)
- \(p^2-196\)
- \(x^2+22x+121\)
- \(121s^{6}-36\)
- \(64y^{6}-240y^3+225\)
- \(225a^{10}-64q^2\)
- \(y^2-169\)
- \(q^2-6q+9\)
- \(p^2-100\)
- \(196b^2-252b+81\)
- \(64b^{16}-81\)
- \(64s^{6}-80s^3+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49-64a^{12}=(7-8a^6)(7+8a^6)\)
- \(p^2-196=(p-14)(p+14)\)
- \(x^2+22x+121=(x+11)^2\)
- \(121s^{6}-36=(11s^3+6)(11s^3-6)\)
- \(64y^{6}-240y^3+225=(8y^3-15)^2\)
- \(225a^{10}-64q^2=(15a^5+8q)(15a^5-8q)\)
- \(y^2-169=(y+13)(y-13)\)
- \(q^2-6q+9=(q-3)^2\)
- \(p^2-100=(p+10)(p-10)\)
- \(196b^2-252b+81=(14b-9)^2\)
- \(64b^{16}-81=(8b^8+9)(8b^8-9)\)
- \(64s^{6}-80s^3+25=(8s^3-5)^2\)