Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(-36x^2+1\)
- \(9p^{16}-100\)
- \(25y^2-70y+49\)
- \(y^2-169\)
- \(225y^{4}-1\)
- \(a^2-26a+169\)
- \(100x^2-60x+9\)
- \(y^2-12y+36\)
- \(196x^{10}+140x^5+25\)
- \(225a^2-4\)
- \(121b^{10}-286b^5+169\)
- \(49b^{8}+14b^4+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(-36x^2+1=(1-6x)(1+6x)\)
- \(9p^{16}-100=(3p^8+10)(3p^8-10)\)
- \(25y^2-70y+49=(5y-7)^2\)
- \(y^2-169=(y-13)(y+13)\)
- \(225y^{4}-1=(15y^2+1)(15y^2-1)\)
- \(a^2-26a+169=(a-13)^2\)
- \(100x^2-60x+9=(10x-3)^2\)
- \(y^2-12y+36=(y-6)^2\)
- \(196x^{10}+140x^5+25=(14x^5+5)^2\)
- \(225a^2-4=(15a+2)(15a-2)\)
- \(121b^{10}-286b^5+169=(11b^5-13)^2\)
- \(49b^{8}+14b^4+1=(7b^4+1)^2\)