Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(169y^{6}-156y^3+36\)
- \(49p^2-84p+36\)
- \(-25q^2+36\)
- \(4p^2-225b^{4}\)
- \(16q^2+88q+121\)
- \(121-64x^{4}\)
- \(169x^2-225\)
- \(144x^2-264x+121\)
- \(-4b^2+81\)
- \(-121q^2+1\)
- \(s^2-6s+9\)
- \(256q^2-288q+81\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(169y^{6}-156y^3+36=(13y^3-6)^2\)
- \(49p^2-84p+36=(7p-6)^2\)
- \(-25q^2+36=(6-5q)(6+5q)\)
- \(4p^2-225b^{4}=(2p-15b^2)(2p+15b^2)\)
- \(16q^2+88q+121=(4q+11)^2\)
- \(121-64x^{4}=(11-8x^2)(11+8x^2)\)
- \(169x^2-225=(13x+15)(13x-15)\)
- \(144x^2-264x+121=(12x-11)^2\)
- \(-4b^2+81=(9-2b)(9+2b)\)
- \(-121q^2+1=(1-11q)(1+11q)\)
- \(s^2-6s+9=(s-3)^2\)
- \(256q^2-288q+81=(16q-9)^2\)