Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196b^{8}+308b^4+121\)
2. \(25y^{6}-40y^3+16\)
3. \(81-196x^{14}\)
4. \(4-25s^{12}\)
5. \(64a^2+16a+1\)
6. \(196q^2+308q+121\)
7. \(121x^2-196a^{12}\)
8. \(64a^{10}+16a^5y+1y^2\)
9. \(121-36y^{12}\)
10. \(1-9y^{8}\)
11. \(169y^2-16a^{14}\)
12. \(64s^{6}-169x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196b^{8}+308b^4+121=(14b^4+11)^2\)
2. \(25y^{6}-40y^3+16=(5y^3-4)^2\)
3. \(81-196x^{14}=(9-14x^7)(9+14x^7)\)
4. \(4-25s^{12}=(2-5s^6)(2+5s^6)\)
5. \(64a^2+16a+1=(8a+1)^2\)
6. \(196q^2+308q+121=(14q+11)^2\)
7. \(121x^2-196a^{12}=(11x-14a^6)(11x+14a^6)\)
8. \(64a^{10}+16a^5y+1y^2=(8a^5+y)^2\)
9. \(121-36y^{12}=(11-6y^6)(11+6y^6)\)
10. \(1-9y^{8}=(1-3y^4)(1+3y^4)\)
11. \(169y^2-16a^{14}=(13y-4a^7)(13y+4a^7)\)
12. \(64s^{6}-169x^2=(8s^3+13x)(8s^3-13x)\)