Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225p^2+120p+16\)
- \(9x^{16}-16\)
- \(169-225b^{6}\)
- \(p^2-100\)
- \(b^2+14b+49\)
- \(49y^{4}+168y^2+144\)
- \(4y^2+28y+49\)
- \(196s^{8}-364s^4+169\)
- \(36b^{12}-121q^2\)
- \(64q^2-169\)
- \(p^2-16\)
- \(-9s^2+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225p^2+120p+16=(15p+4)^2\)
- \(9x^{16}-16=(3x^8+4)(3x^8-4)\)
- \(169-225b^{6}=(13-15b^3)(13+15b^3)\)
- \(p^2-100=(p+10)(p-10)\)
- \(b^2+14b+49=(b+7)^2\)
- \(49y^{4}+168y^2+144=(7y^2+12)^2\)
- \(4y^2+28y+49=(2y+7)^2\)
- \(196s^{8}-364s^4+169=(14s^4-13)^2\)
- \(36b^{12}-121q^2=(6b^6+11q)(6b^6-11q)\)
- \(64q^2-169=(8q+13)(8q-13)\)
- \(p^2-16=(p+4)(p-4)\)
- \(-9s^2+49=(7-3s)(7+3s)\)