Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64s^{8}-9y^2\)
2. \(-144q^2+121\)
3. \(1-81a^{6}\)
4. \(-16b^2+169\)
5. \(q^2-169\)
6. \(121a^{10}-169s^2\)
7. \(169s^{10}-416s^5+256\)
8. \(81a^2-234a+169\)
9. \(225b^{16}-49s^2\)
10. \(b^2-100\)
11. \(1-25y^{8}\)
12. \(196y^2-364y+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64s^{8}-9y^2=(8s^4+3y)(8s^4-3y)\)
2. \(-144q^2+121=(11-12q)(11+12q)\)
3. \(1-81a^{6}=(1-9a^3)(1+9a^3)\)
4. \(-16b^2+169=(13-4b)(13+4b)\)
5. \(q^2-169=(q-13)(q+13)\)
6. \(121a^{10}-169s^2=(11a^5+13s)(11a^5-13s)\)
7. \(169s^{10}-416s^5+256=(13s^5-16)^2\)
8. \(81a^2-234a+169=(9a-13)^2\)
9. \(225b^{16}-49s^2=(15b^8+7s)(15b^8-7s)\)
10. \(b^2-100=(b+10)(b-10)\)
11. \(1-25y^{8}=(1-5y^4)(1+5y^4)\)
12. \(196y^2-364y+169=(14y-13)^2\)