Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49a^{12}-225\)
2. \(49s^{10}+168s^5x+144x^2\)
3. \(-121a^2+81\)
4. \(b^2-144\)
5. \(64b^2-225a^{16}\)
6. \(196x^2-9\)
7. \(144s^2-121p^{16}\)
8. \(121-16p^{14}\)
9. \(9s^{10}-30s^5+25\)
10. \(225a^{8}-169\)
11. \(x^2+14x+49\)
12. \(100q^2-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49a^{12}-225=(7a^6+15)(7a^6-15)\)
2. \(49s^{10}+168s^5x+144x^2=(7s^5+12x)^2\)
3. \(-121a^2+81=(9-11a)(9+11a)\)
4. \(b^2-144=(b-12)(b+12)\)
5. \(64b^2-225a^{16}=(8b-15a^8)(8b+15a^8)\)
6. \(196x^2-9=(14x+3)(14x-3)\)
7. \(144s^2-121p^{16}=(12s-11p^8)(12s+11p^8)\)
8. \(121-16p^{14}=(11-4p^7)(11+4p^7)\)
9. \(9s^{10}-30s^5+25=(3s^5-5)^2\)
10. \(225a^{8}-169=(15a^4+13)(15a^4-13)\)
11. \(x^2+14x+49=(x+7)^2\)
12. \(100q^2-1=(10q+1)(10q-1)\)