Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100y^2+180y+81\)
- \(9a^{10}+60a^5s+100s^2\)
- \(x^2-100\)
- \(256s^{6}-480s^3x+225x^2\)
- \(144y^{8}-121\)
- \(q^2-25\)
- \(9b^{14}-100\)
- \(196b^2-252b+81\)
- \(q^2-121\)
- \(196y^2+252y+81\)
- \(p^2-20p+100\)
- \(q^2-12q+36\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100y^2+180y+81=(10y+9)^2\)
- \(9a^{10}+60a^5s+100s^2=(3a^5+10s)^2\)
- \(x^2-100=(x-10)(x+10)\)
- \(256s^{6}-480s^3x+225x^2=(16s^3-15x)^2\)
- \(144y^{8}-121=(12y^4+11)(12y^4-11)\)
- \(q^2-25=(q+5)(q-5)\)
- \(9b^{14}-100=(3b^7+10)(3b^7-10)\)
- \(196b^2-252b+81=(14b-9)^2\)
- \(q^2-121=(q+11)(q-11)\)
- \(196y^2+252y+81=(14y+9)^2\)
- \(p^2-20p+100=(p-10)^2\)
- \(q^2-12q+36=(q-6)^2\)