Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-9\)
2. \(169s^{8}+78s^4+9\)
3. \(144a^{6}-264a^3q+121q^2\)
4. \(144x^2+264x+121\)
5. \(144s^2+312s+169\)
6. \(256s^2-121\)
7. \(4x^2-81a^{16}\)
8. \(81p^2-234p+169\)
9. \(169y^2-416y+256\)
10. \(36p^{4}-25x^2\)
11. \(36-49p^{10}\)
12. \(196b^2-a^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-9=(s-3)(s+3)\)
2. \(169s^{8}+78s^4+9=(13s^4+3)^2\)
3. \(144a^{6}-264a^3q+121q^2=(12a^3-11q)^2\)
4. \(144x^2+264x+121=(12x+11)^2\)
5. \(144s^2+312s+169=(12s+13)^2\)
6. \(256s^2-121=(16s+11)(16s-11)\)
7. \(4x^2-81a^{16}=(2x-9a^8)(2x+9a^8)\)
8. \(81p^2-234p+169=(9p-13)^2\)
9. \(169y^2-416y+256=(13y-16)^2\)
10. \(36p^{4}-25x^2=(6p^2+5x)(6p^2-5x)\)
11. \(36-49p^{10}=(6-7p^5)(6+7p^5)\)
12. \(196b^2-a^{8}=(14b-a^4)(14b+a^4)\)