Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^{10}-144\)
2. \(49q^{10}+42q^5+9\)
3. \(81x^{8}-198x^4y+121y^2\)
4. \(-64a^2+81\)
5. \(-16x^2+169\)
6. \(81y^{12}-25\)
7. \(9s^2-49b^{14}\)
8. \(225q^{8}-60q^4+4\)
9. \(x^2-225\)
10. \(144s^2-25a^{14}\)
11. \(64b^{6}-9\)
12. \(y^2-8y+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^{10}-144=(11x^5+12)(11x^5-12)\)
2. \(49q^{10}+42q^5+9=(7q^5+3)^2\)
3. \(81x^{8}-198x^4y+121y^2=(9x^4-11y)^2\)
4. \(-64a^2+81=(9-8a)(9+8a)\)
5. \(-16x^2+169=(13-4x)(13+4x)\)
6. \(81y^{12}-25=(9y^6+5)(9y^6-5)\)
7. \(9s^2-49b^{14}=(3s-7b^7)(3s+7b^7)\)
8. \(225q^{8}-60q^4+4=(15q^4-2)^2\)
9. \(x^2-225=(x+15)(x-15)\)
10. \(144s^2-25a^{14}=(12s-5a^7)(12s+5a^7)\)
11. \(64b^{6}-9=(8b^3+3)(8b^3-3)\)
12. \(y^2-8y+16=(y-4)^2\)