Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(144q^2-264q+121\)
- \(x^2-144\)
- \(a^2-1\)
- \(-64b^2+49\)
- \(100b^{8}+20b^4q+1q^2\)
- \(49q^{10}-28q^5x+4x^2\)
- \(4x^{16}-49\)
- \(121-196y^{4}\)
- \(q^2+18q+81\)
- \(81a^2-198a+121\)
- \(a^2-9\)
- \(81q^{6}+234q^3+169\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(144q^2-264q+121=(12q-11)^2\)
- \(x^2-144=(x+12)(x-12)\)
- \(a^2-1=(a+1)(a-1)\)
- \(-64b^2+49=(7-8b)(7+8b)\)
- \(100b^{8}+20b^4q+1q^2=(10b^4+q)^2\)
- \(49q^{10}-28q^5x+4x^2=(7q^5-2x)^2\)
- \(4x^{16}-49=(2x^8+7)(2x^8-7)\)
- \(121-196y^{4}=(11-14y^2)(11+14y^2)\)
- \(q^2+18q+81=(q+9)^2\)
- \(81a^2-198a+121=(9a-11)^2\)
- \(a^2-9=(a-3)(a+3)\)
- \(81q^{6}+234q^3+169=(9q^3+13)^2\)