Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121x^{4}+264x^2+144\)
- \(-144a^2+1\)
- \(256s^2+224s+49\)
- \(s^2-64\)
- \(196s^{6}+28s^3x+1x^2\)
- \(1-36x^{14}\)
- \(100b^{16}-9q^2\)
- \(4b^{4}+28b^2+49\)
- \(p^2+24p+144\)
- \(49q^2-100b^{10}\)
- \(100p^2-180p+81\)
- \(81x^2-196a^{6}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121x^{4}+264x^2+144=(11x^2+12)^2\)
- \(-144a^2+1=(1-12a)(1+12a)\)
- \(256s^2+224s+49=(16s+7)^2\)
- \(s^2-64=(s-8)(s+8)\)
- \(196s^{6}+28s^3x+1x^2=(14s^3+x)^2\)
- \(1-36x^{14}=(1-6x^7)(1+6x^7)\)
- \(100b^{16}-9q^2=(10b^8+3q)(10b^8-3q)\)
- \(4b^{4}+28b^2+49=(2b^2+7)^2\)
- \(p^2+24p+144=(p+12)^2\)
- \(49q^2-100b^{10}=(7q-10b^5)(7q+10b^5)\)
- \(100p^2-180p+81=(10p-9)^2\)
- \(81x^2-196a^{6}=(9x-14a^3)(9x+14a^3)\)