Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(196b^2-81\)
- \(256q^{6}+96q^3s+9s^2\)
- \(-100p^2+169\)
- \(49s^{8}-169\)
- \(144b^{8}-1\)
- \(81q^2-16\)
- \(144p^{4}-121q^2\)
- \(x^2-121\)
- \(x^2-36\)
- \(100q^{8}-180q^4+81\)
- \(100x^2+140x+49\)
- \(36y^{6}+132y^3+121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(196b^2-81=(14b+9)(14b-9)\)
- \(256q^{6}+96q^3s+9s^2=(16q^3+3s)^2\)
- \(-100p^2+169=(13-10p)(13+10p)\)
- \(49s^{8}-169=(7s^4+13)(7s^4-13)\)
- \(144b^{8}-1=(12b^4+1)(12b^4-1)\)
- \(81q^2-16=(9q+4)(9q-4)\)
- \(144p^{4}-121q^2=(12p^2+11q)(12p^2-11q)\)
- \(x^2-121=(x-11)(x+11)\)
- \(x^2-36=(x+6)(x-6)\)
- \(100q^{8}-180q^4+81=(10q^4-9)^2\)
- \(100x^2+140x+49=(10x+7)^2\)
- \(36y^{6}+132y^3+121=(6y^3+11)^2\)