Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25a^{6}-140a^3y+196y^2\)
2. \(9x^{6}+30x^3+25\)
3. \(49-16x^{16}\)
4. \(144b^{4}+120b^2y+25y^2\)
5. \(169s^2-78s+9\)
6. \(49s^{8}-140s^4+100\)
7. \(144-49b^{10}\)
8. \(25-196b^{16}\)
9. \(169x^2-104x+16\)
10. \(100a^{8}-260a^4s+169s^2\)
11. \(81a^{6}+18a^3+1\)
12. \(s^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25a^{6}-140a^3y+196y^2=(5a^3-14y)^2\)
2. \(9x^{6}+30x^3+25=(3x^3+5)^2\)
3. \(49-16x^{16}=(7-4x^8)(7+4x^8)\)
4. \(144b^{4}+120b^2y+25y^2=(12b^2+5y)^2\)
5. \(169s^2-78s+9=(13s-3)^2\)
6. \(49s^{8}-140s^4+100=(7s^4-10)^2\)
7. \(144-49b^{10}=(12-7b^5)(12+7b^5)\)
8. \(25-196b^{16}=(5-14b^8)(5+14b^8)\)
9. \(169x^2-104x+16=(13x-4)^2\)
10. \(100a^{8}-260a^4s+169s^2=(10a^4-13s)^2\)
11. \(81a^{6}+18a^3+1=(9a^3+1)^2\)
12. \(s^2-36=(s+6)(s-6)\)