Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(25q^{10}-4y^2\)
- \(a^{4}-36x^2\)
- \(p^2-36\)
- \(9-25a^{4}\)
- \(49s^2-225\)
- \(-16b^2+81\)
- \(y^2-22y+121\)
- \(25b^{4}-40b^2q+16q^2\)
- \(49s^{6}-225y^2\)
- \(-196x^2+169\)
- \(b^2-1\)
- \(169y^2-390y+225\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(25q^{10}-4y^2=(5q^5+2y)(5q^5-2y)\)
- \(a^{4}-36x^2=(a^2+6x)(a^2-6x)\)
- \(p^2-36=(p+6)(p-6)\)
- \(9-25a^{4}=(3-5a^2)(3+5a^2)\)
- \(49s^2-225=(7s+15)(7s-15)\)
- \(-16b^2+81=(9-4b)(9+4b)\)
- \(y^2-22y+121=(y-11)^2\)
- \(25b^{4}-40b^2q+16q^2=(5b^2-4q)^2\)
- \(49s^{6}-225y^2=(7s^3+15y)(7s^3-15y)\)
- \(-196x^2+169=(13-14x)(13+14x)\)
- \(b^2-1=(b-1)(b+1)\)
- \(169y^2-390y+225=(13y-15)^2\)