Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36-49x^{6}\)
2. \(p^2-22p+121\)
3. \(p^2-36\)
4. \(4a^{10}+44a^5+121\)
5. \(121y^2-4s^{14}\)
6. \(p^2+26p+169\)
7. \(4a^2+36a+81\)
8. \(225b^{8}-60b^4+4\)
9. \(256q^{16}-1\)
10. \(64a^{8}-112a^4s+49s^2\)
11. \(9-16s^{10}\)
12. \(y^2+28y+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36-49x^{6}=(6-7x^3)(6+7x^3)\)
2. \(p^2-22p+121=(p-11)^2\)
3. \(p^2-36=(p+6)(p-6)\)
4. \(4a^{10}+44a^5+121=(2a^5+11)^2\)
5. \(121y^2-4s^{14}=(11y-2s^7)(11y+2s^7)\)
6. \(p^2+26p+169=(p+13)^2\)
7. \(4a^2+36a+81=(2a+9)^2\)
8. \(225b^{8}-60b^4+4=(15b^4-2)^2\)
9. \(256q^{16}-1=(16q^8+1)(16q^8-1)\)
10. \(64a^{8}-112a^4s+49s^2=(8a^4-7s)^2\)
11. \(9-16s^{10}=(3-4s^5)(3+4s^5)\)
12. \(y^2+28y+196=(y+14)^2\)