Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(25b^{14}-1\)
- \(196s^{4}+140s^2+25\)
- \(p^2+2p+1\)
- \(1-169p^{6}\)
- \(196p^2-121\)
- \(p^2-24p+144\)
- \(169a^{4}+364a^2x+196x^2\)
- \(p^2-25\)
- \(s^2-36\)
- \(36p^{6}+60p^3+25\)
- \(49y^2-64b^{8}\)
- \(49x^2-84x+36\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(25b^{14}-1=(5b^7+1)(5b^7-1)\)
- \(196s^{4}+140s^2+25=(14s^2+5)^2\)
- \(p^2+2p+1=(p+1)^2\)
- \(1-169p^{6}=(1-13p^3)(1+13p^3)\)
- \(196p^2-121=(14p+11)(14p-11)\)
- \(p^2-24p+144=(p-12)^2\)
- \(169a^{4}+364a^2x+196x^2=(13a^2+14x)^2\)
- \(p^2-25=(p+5)(p-5)\)
- \(s^2-36=(s+6)(s-6)\)
- \(36p^{6}+60p^3+25=(6p^3+5)^2\)
- \(49y^2-64b^{8}=(7y-8b^4)(7y+8b^4)\)
- \(49x^2-84x+36=(7x-6)^2\)