Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81q^{8}+234q^4+169\)
2. \(225x^{14}-1\)
3. \(225-49y^{4}\)
4. \(p^2-169\)
5. \(196b^{14}-25q^2\)
6. \(s^2-12s+36\)
7. \(64q^2-81\)
8. \(100x^2-81q^{4}\)
9. \(49-225b^{10}\)
10. \(-196y^2+121\)
11. \(a^2-4\)
12. \(169s^{4}-52s^2y+4y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81q^{8}+234q^4+169=(9q^4+13)^2\)
2. \(225x^{14}-1=(15x^7+1)(15x^7-1)\)
3. \(225-49y^{4}=(15-7y^2)(15+7y^2)\)
4. \(p^2-169=(p+13)(p-13)\)
5. \(196b^{14}-25q^2=(14b^7+5q)(14b^7-5q)\)
6. \(s^2-12s+36=(s-6)^2\)
7. \(64q^2-81=(8q+9)(8q-9)\)
8. \(100x^2-81q^{4}=(10x-9q^2)(10x+9q^2)\)
9. \(49-225b^{10}=(7-15b^5)(7+15b^5)\)
10. \(-196y^2+121=(11-14y)(11+14y)\)
11. \(a^2-4=(a-2)(a+2)\)
12. \(169s^{4}-52s^2y+4y^2=(13s^2-2y)^2\)