Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9s^2+78s+169\)
- \(49y^{8}-169\)
- \(36x^2-49\)
- \(100q^{6}+60q^3y+9y^2\)
- \(9s^2-30s+25\)
- \(1-81s^{6}\)
- \(144x^2+24x+1\)
- \(p^2-196\)
- \(196s^2-9p^{4}\)
- \(4p^{12}-121\)
- \(196a^{12}-81x^2\)
- \(100q^2+20q+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9s^2+78s+169=(3s+13)^2\)
- \(49y^{8}-169=(7y^4+13)(7y^4-13)\)
- \(36x^2-49=(6x+7)(6x-7)\)
- \(100q^{6}+60q^3y+9y^2=(10q^3+3y)^2\)
- \(9s^2-30s+25=(3s-5)^2\)
- \(1-81s^{6}=(1-9s^3)(1+9s^3)\)
- \(144x^2+24x+1=(12x+1)^2\)
- \(p^2-196=(p-14)(p+14)\)
- \(196s^2-9p^{4}=(14s-3p^2)(14s+3p^2)\)
- \(4p^{12}-121=(2p^6+11)(2p^6-11)\)
- \(196a^{12}-81x^2=(14a^6+9x)(14a^6-9x)\)
- \(100q^2+20q+1=(10q+1)^2\)