Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16-225x^{14}\)
2. \(-100s^2+49\)
3. \(9y^{4}-12y^2+4\)
4. \(64a^{8}+176a^4q+121q^2\)
5. \(64q^{6}-208q^3y+169y^2\)
6. \(25b^2-64a^{10}\)
7. \(64x^{8}+240x^4y+225y^2\)
8. \(36b^{16}-1\)
9. \(49q^{6}+14q^3+1\)
10. \(144y^{4}+168y^2+49\)
11. \(p^2-144\)
12. \(144a^{8}-264a^4q+121q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16-225x^{14}=(4-15x^7)(4+15x^7)\)
2. \(-100s^2+49=(7-10s)(7+10s)\)
3. \(9y^{4}-12y^2+4=(3y^2-2)^2\)
4. \(64a^{8}+176a^4q+121q^2=(8a^4+11q)^2\)
5. \(64q^{6}-208q^3y+169y^2=(8q^3-13y)^2\)
6. \(25b^2-64a^{10}=(5b-8a^5)(5b+8a^5)\)
7. \(64x^{8}+240x^4y+225y^2=(8x^4+15y)^2\)
8. \(36b^{16}-1=(6b^8+1)(6b^8-1)\)
9. \(49q^{6}+14q^3+1=(7q^3+1)^2\)
10. \(144y^{4}+168y^2+49=(12y^2+7)^2\)
11. \(p^2-144=(p+12)(p-12)\)
12. \(144a^{8}-264a^4q+121q^2=(12a^4-11q)^2\)