Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121a^{8}-44a^4+4\)
- \(81p^{4}+72p^2+16\)
- \(q^2-121\)
- \(100b^{6}-260b^3+169\)
- \(4a^{4}+12a^2+9\)
- \(q^2+14q+49\)
- \(p^2-100\)
- \(p^2+2p+1\)
- \(144a^{6}+312a^3+169\)
- \(49q^2-81\)
- \(y^2-16\)
- \(y^2-144\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121a^{8}-44a^4+4=(11a^4-2)^2\)
- \(81p^{4}+72p^2+16=(9p^2+4)^2\)
- \(q^2-121=(q-11)(q+11)\)
- \(100b^{6}-260b^3+169=(10b^3-13)^2\)
- \(4a^{4}+12a^2+9=(2a^2+3)^2\)
- \(q^2+14q+49=(q+7)^2\)
- \(p^2-100=(p+10)(p-10)\)
- \(p^2+2p+1=(p+1)^2\)
- \(144a^{6}+312a^3+169=(12a^3+13)^2\)
- \(49q^2-81=(7q+9)(7q-9)\)
- \(y^2-16=(y-4)(y+4)\)
- \(y^2-144=(y+12)(y-12)\)