Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49-36a^{10}\)
- \(x^2-4\)
- \(16y^{4}-56y^2+49\)
- \(x^2-196\)
- \(s^2-36\)
- \(36b^{10}-121p^2\)
- \(121p^2-44p+4\)
- \(y^2-225\)
- \(-4y^2+225\)
- \(-81a^2+1\)
- \(y^2-26y+169\)
- \(36x^2-60x+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49-36a^{10}=(7-6a^5)(7+6a^5)\)
- \(x^2-4=(x+2)(x-2)\)
- \(16y^{4}-56y^2+49=(4y^2-7)^2\)
- \(x^2-196=(x+14)(x-14)\)
- \(s^2-36=(s+6)(s-6)\)
- \(36b^{10}-121p^2=(6b^5+11p)(6b^5-11p)\)
- \(121p^2-44p+4=(11p-2)^2\)
- \(y^2-225=(y-15)(y+15)\)
- \(-4y^2+225=(15-2y)(15+2y)\)
- \(-81a^2+1=(1-9a)(1+9a)\)
- \(y^2-26y+169=(y-13)^2\)
- \(36x^2-60x+25=(6x-5)^2\)