Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25s^{8}-40s^4+16\)
2. \(121x^{10}+110x^5+25\)
3. \(64x^{4}-9\)
4. \(36q^{4}+60q^2+25\)
5. \(169b^{10}-416b^5+256\)
6. \(36x^2+12x+1\)
7. \(p^2-121\)
8. \(4s^2-49p^{14}\)
9. \(100a^{10}+180a^5q+81q^2\)
10. \(36s^{10}-132s^5+121\)
11. \(144b^{6}-264b^3+121\)
12. \(81a^2-196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25s^{8}-40s^4+16=(5s^4-4)^2\)
2. \(121x^{10}+110x^5+25=(11x^5+5)^2\)
3. \(64x^{4}-9=(8x^2+3)(8x^2-3)\)
4. \(36q^{4}+60q^2+25=(6q^2+5)^2\)
5. \(169b^{10}-416b^5+256=(13b^5-16)^2\)
6. \(36x^2+12x+1=(6x+1)^2\)
7. \(p^2-121=(p-11)(p+11)\)
8. \(4s^2-49p^{14}=(2s-7p^7)(2s+7p^7)\)
9. \(100a^{10}+180a^5q+81q^2=(10a^5+9q)^2\)
10. \(36s^{10}-132s^5+121=(6s^5-11)^2\)
11. \(144b^{6}-264b^3+121=(12b^3-11)^2\)
12. \(81a^2-196=(9a+14)(9a-14)\)