Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-12a+36\)
2. \(9b^{8}-16s^2\)
3. \(49b^{6}-225\)
4. \(256s^2+160s+25\)
5. \(256q^{8}-160q^4+25\)
6. \(64s^{6}+112s^3x+49x^2\)
7. \(121p^{4}-352p^2+256\)
8. \(s^2+30s+225\)
9. \(p^2-10p+25\)
10. \(-121p^2+196\)
11. \(a^2+28a+196\)
12. \(144x^2-121s^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-12a+36=(a-6)^2\)
2. \(9b^{8}-16s^2=(3b^4+4s)(3b^4-4s)\)
3. \(49b^{6}-225=(7b^3+15)(7b^3-15)\)
4. \(256s^2+160s+25=(16s+5)^2\)
5. \(256q^{8}-160q^4+25=(16q^4-5)^2\)
6. \(64s^{6}+112s^3x+49x^2=(8s^3+7x)^2\)
7. \(121p^{4}-352p^2+256=(11p^2-16)^2\)
8. \(s^2+30s+225=(s+15)^2\)
9. \(p^2-10p+25=(p-5)^2\)
10. \(-121p^2+196=(14-11p)(14+11p)\)
11. \(a^2+28a+196=(a+14)^2\)
12. \(144x^2-121s^{16}=(12x-11s^8)(12x+11s^8)\)