Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49q^{6}-224q^3+256\)
2. \(225p^2+30p+1\)
3. \(36q^{6}-49s^2\)
4. \(-64s^2+169\)
5. \(169x^{14}-196\)
6. \(100q^{4}-81s^2\)
7. \(225s^{4}-420s^2y+196y^2\)
8. \(64p^{10}+16p^5x+1x^2\)
9. \(-256b^2+121\)
10. \(36y^2-121x^{16}\)
11. \(256x^2+224x+49\)
12. \(100y^{4}-60y^2+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49q^{6}-224q^3+256=(7q^3-16)^2\)
2. \(225p^2+30p+1=(15p+1)^2\)
3. \(36q^{6}-49s^2=(6q^3+7s)(6q^3-7s)\)
4. \(-64s^2+169=(13-8s)(13+8s)\)
5. \(169x^{14}-196=(13x^7+14)(13x^7-14)\)
6. \(100q^{4}-81s^2=(10q^2+9s)(10q^2-9s)\)
7. \(225s^{4}-420s^2y+196y^2=(15s^2-14y)^2\)
8. \(64p^{10}+16p^5x+1x^2=(8p^5+x)^2\)
9. \(-256b^2+121=(11-16b)(11+16b)\)
10. \(36y^2-121x^{16}=(6y-11x^8)(6y+11x^8)\)
11. \(256x^2+224x+49=(16x+7)^2\)
12. \(100y^{4}-60y^2+9=(10y^2-3)^2\)