Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225a^{16}-16p^2\)
- \(-196a^2+225\)
- \(a^2-9\)
- \(4a^{4}+28a^2x+49x^2\)
- \(-256a^2+169\)
- \(16q^{6}+120q^3+225\)
- \(169b^{10}-312b^5y+144y^2\)
- \(225a^{8}+390a^4s+169s^2\)
- \(p^2+20p+100\)
- \(x^2-144\)
- \(121y^2-144q^{16}\)
- \(9-16y^{10}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225a^{16}-16p^2=(15a^8+4p)(15a^8-4p)\)
- \(-196a^2+225=(15-14a)(15+14a)\)
- \(a^2-9=(a+3)(a-3)\)
- \(4a^{4}+28a^2x+49x^2=(2a^2+7x)^2\)
- \(-256a^2+169=(13-16a)(13+16a)\)
- \(16q^{6}+120q^3+225=(4q^3+15)^2\)
- \(169b^{10}-312b^5y+144y^2=(13b^5-12y)^2\)
- \(225a^{8}+390a^4s+169s^2=(15a^4+13s)^2\)
- \(p^2+20p+100=(p+10)^2\)
- \(x^2-144=(x-12)(x+12)\)
- \(121y^2-144q^{16}=(11y-12q^8)(11y+12q^8)\)
- \(9-16y^{10}=(3-4y^5)(3+4y^5)\)