Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16-225x^{14}\)
- \(-100s^2+49\)
- \(9y^{4}-12y^2+4\)
- \(64a^{8}+176a^4q+121q^2\)
- \(64q^{6}-208q^3y+169y^2\)
- \(25b^2-64a^{10}\)
- \(64x^{8}+240x^4y+225y^2\)
- \(36b^{16}-1\)
- \(49q^{6}+14q^3+1\)
- \(144y^{4}+168y^2+49\)
- \(p^2-144\)
- \(144a^{8}-264a^4q+121q^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16-225x^{14}=(4-15x^7)(4+15x^7)\)
- \(-100s^2+49=(7-10s)(7+10s)\)
- \(9y^{4}-12y^2+4=(3y^2-2)^2\)
- \(64a^{8}+176a^4q+121q^2=(8a^4+11q)^2\)
- \(64q^{6}-208q^3y+169y^2=(8q^3-13y)^2\)
- \(25b^2-64a^{10}=(5b-8a^5)(5b+8a^5)\)
- \(64x^{8}+240x^4y+225y^2=(8x^4+15y)^2\)
- \(36b^{16}-1=(6b^8+1)(6b^8-1)\)
- \(49q^{6}+14q^3+1=(7q^3+1)^2\)
- \(144y^{4}+168y^2+49=(12y^2+7)^2\)
- \(p^2-144=(p+12)(p-12)\)
- \(144a^{8}-264a^4q+121q^2=(12a^4-11q)^2\)