Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121y^2-196q^{12}\)
2. \(9q^{4}-16\)
3. \(36p^{4}-132p^2s+121s^2\)
4. \(121y^2-44y+4\)
5. \(p^2-8p+16\)
6. \(a^2+22a+121\)
7. \(225s^2-4q^{6}\)
8. \(49-64a^{10}\)
9. \(64x^{10}-1\)
10. \(9y^2-4x^{4}\)
11. \(a^2-4a+4\)
12. \(169a^{10}+364a^5s+196s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121y^2-196q^{12}=(11y-14q^6)(11y+14q^6)\)
2. \(9q^{4}-16=(3q^2+4)(3q^2-4)\)
3. \(36p^{4}-132p^2s+121s^2=(6p^2-11s)^2\)
4. \(121y^2-44y+4=(11y-2)^2\)
5. \(p^2-8p+16=(p-4)^2\)
6. \(a^2+22a+121=(a+11)^2\)
7. \(225s^2-4q^{6}=(15s-2q^3)(15s+2q^3)\)
8. \(49-64a^{10}=(7-8a^5)(7+8a^5)\)
9. \(64x^{10}-1=(8x^5+1)(8x^5-1)\)
10. \(9y^2-4x^{4}=(3y-2x^2)(3y+2x^2)\)
11. \(a^2-4a+4=(a-2)^2\)
12. \(169a^{10}+364a^5s+196s^2=(13a^5+14s)^2\)