Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49a^{8}+182a^4+169\)
- \(256a^{6}+224a^3+49\)
- \(49x^2-36a^{4}\)
- \(4b^{4}+4b^2q+1q^2\)
- \(81q^{14}-4\)
- \(s^2-18s+81\)
- \(p^2-121\)
- \(a^2-144\)
- \(196p^{4}+252p^2+81\)
- \(x^2-25\)
- \(256b^{6}-9y^2\)
- \(121p^2+154p+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49a^{8}+182a^4+169=(7a^4+13)^2\)
- \(256a^{6}+224a^3+49=(16a^3+7)^2\)
- \(49x^2-36a^{4}=(7x-6a^2)(7x+6a^2)\)
- \(4b^{4}+4b^2q+1q^2=(2b^2+q)^2\)
- \(81q^{14}-4=(9q^7+2)(9q^7-2)\)
- \(s^2-18s+81=(s-9)^2\)
- \(p^2-121=(p+11)(p-11)\)
- \(a^2-144=(a-12)(a+12)\)
- \(196p^{4}+252p^2+81=(14p^2+9)^2\)
- \(x^2-25=(x+5)(x-5)\)
- \(256b^{6}-9y^2=(16b^3+3y)(16b^3-3y)\)
- \(121p^2+154p+49=(11p+7)^2\)