Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4y^2-25x^{4}\)
2. \(64q^{10}+176q^5y+121y^2\)
3. \(q^2+22q+121\)
4. \(p^2-49\)
5. \(256y^{8}+160y^4+25\)
6. \(9s^2-64p^{10}\)
7. \(9a^{8}-48a^4b+64b^2\)
8. \(81-49p^{8}\)
9. \(9q^{10}-49s^2\)
10. \(169b^2-416b+256\)
11. \(64b^{8}+16b^4+1\)
12. \(a^2-2a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4y^2-25x^{4}=(2y-5x^2)(2y+5x^2)\)
2. \(64q^{10}+176q^5y+121y^2=(8q^5+11y)^2\)
3. \(q^2+22q+121=(q+11)^2\)
4. \(p^2-49=(p-7)(p+7)\)
5. \(256y^{8}+160y^4+25=(16y^4+5)^2\)
6. \(9s^2-64p^{10}=(3s-8p^5)(3s+8p^5)\)
7. \(9a^{8}-48a^4b+64b^2=(3a^4-8b)^2\)
8. \(81-49p^{8}=(9-7p^4)(9+7p^4)\)
9. \(9q^{10}-49s^2=(3q^5+7s)(3q^5-7s)\)
10. \(169b^2-416b+256=(13b-16)^2\)
11. \(64b^{8}+16b^4+1=(8b^4+1)^2\)
12. \(a^2-2a+1=(a-1)^2\)