Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25a^{8}-140a^4+196\)
2. \(144x^{8}-264x^4+121\)
3. \(p^2-4\)
4. \(144p^{8}+24p^4x+1x^2\)
5. \(225a^2-60a+4\)
6. \(25b^{10}-121\)
7. \(b^2-121\)
8. \(9s^2+6s+1\)
9. \(64b^{8}-208b^4x+169x^2\)
10. \(196b^2-364b+169\)
11. \(49-16x^{14}\)
12. \(p^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25a^{8}-140a^4+196=(5a^4-14)^2\)
2. \(144x^{8}-264x^4+121=(12x^4-11)^2\)
3. \(p^2-4=(p+2)(p-2)\)
4. \(144p^{8}+24p^4x+1x^2=(12p^4+x)^2\)
5. \(225a^2-60a+4=(15a-2)^2\)
6. \(25b^{10}-121=(5b^5+11)(5b^5-11)\)
7. \(b^2-121=(b+11)(b-11)\)
8. \(9s^2+6s+1=(3s+1)^2\)
9. \(64b^{8}-208b^4x+169x^2=(8b^4-13x)^2\)
10. \(196b^2-364b+169=(14b-13)^2\)
11. \(49-16x^{14}=(7-4x^7)(7+4x^7)\)
12. \(p^2-49=(p-7)(p+7)\)