Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(64a^{6}-112a^3+49\)
- \(25b^2+120b+144\)
- \(225p^2-420p+196\)
- \(144y^{6}-1\)
- \(49p^{6}+14p^3+1\)
- \(p^2-225\)
- \(81-196q^{4}\)
- \(225s^{6}-169\)
- \(y^2-196\)
- \(25-256a^{6}\)
- \(s^2-10s+25\)
- \(a^2-2a+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(64a^{6}-112a^3+49=(8a^3-7)^2\)
- \(25b^2+120b+144=(5b+12)^2\)
- \(225p^2-420p+196=(15p-14)^2\)
- \(144y^{6}-1=(12y^3+1)(12y^3-1)\)
- \(49p^{6}+14p^3+1=(7p^3+1)^2\)
- \(p^2-225=(p-15)(p+15)\)
- \(81-196q^{4}=(9-14q^2)(9+14q^2)\)
- \(225s^{6}-169=(15s^3+13)(15s^3-13)\)
- \(y^2-196=(y-14)(y+14)\)
- \(25-256a^{6}=(5-16a^3)(5+16a^3)\)
- \(s^2-10s+25=(s-5)^2\)
- \(a^2-2a+1=(a-1)^2\)