Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81q^{10}-198q^5y+121y^2\)
2. \(9-64s^{10}\)
3. \(144q^{6}-169x^2\)
4. \(x^2-64\)
5. \(144a^{8}-264a^4+121\)
6. \(16a^{6}-120a^3+225\)
7. \(25q^{6}+140q^3+196\)
8. \(36s^{8}-132s^4y+121y^2\)
9. \(81s^{8}-234s^4y+169y^2\)
10. \(225y^{10}-330y^5+121\)
11. \(36p^{8}-49y^2\)
12. \(49b^{10}+84b^5s+36s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81q^{10}-198q^5y+121y^2=(9q^5-11y)^2\)
2. \(9-64s^{10}=(3-8s^5)(3+8s^5)\)
3. \(144q^{6}-169x^2=(12q^3+13x)(12q^3-13x)\)
4. \(x^2-64=(x-8)(x+8)\)
5. \(144a^{8}-264a^4+121=(12a^4-11)^2\)
6. \(16a^{6}-120a^3+225=(4a^3-15)^2\)
7. \(25q^{6}+140q^3+196=(5q^3+14)^2\)
8. \(36s^{8}-132s^4y+121y^2=(6s^4-11y)^2\)
9. \(81s^{8}-234s^4y+169y^2=(9s^4-13y)^2\)
10. \(225y^{10}-330y^5+121=(15y^5-11)^2\)
11. \(36p^{8}-49y^2=(6p^4+7y)(6p^4-7y)\)
12. \(49b^{10}+84b^5s+36s^2=(7b^5+6s)^2\)