Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25-16x^{4}\)
2. \(a^2+22a+121\)
3. \(100x^{8}+220x^4+121\)
4. \(196b^{10}-364b^5s+169s^2\)
5. \(36a^{10}-60a^5+25\)
6. \(81a^2+126a+49\)
7. \(100b^{4}+140b^2+49\)
8. \(q^2-121\)
9. \(49a^{8}-140a^4x+100x^2\)
10. \(196s^{10}+28s^5+1\)
11. \(144p^{6}-264p^3x+121x^2\)
12. \(y^2+28y+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25-16x^{4}=(5-4x^2)(5+4x^2)\)
2. \(a^2+22a+121=(a+11)^2\)
3. \(100x^{8}+220x^4+121=(10x^4+11)^2\)
4. \(196b^{10}-364b^5s+169s^2=(14b^5-13s)^2\)
5. \(36a^{10}-60a^5+25=(6a^5-5)^2\)
6. \(81a^2+126a+49=(9a+7)^2\)
7. \(100b^{4}+140b^2+49=(10b^2+7)^2\)
8. \(q^2-121=(q+11)(q-11)\)
9. \(49a^{8}-140a^4x+100x^2=(7a^4-10x)^2\)
10. \(196s^{10}+28s^5+1=(14s^5+1)^2\)
11. \(144p^{6}-264p^3x+121x^2=(12p^3-11x)^2\)
12. \(y^2+28y+196=(y+14)^2\)