Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81x^2-49s^{12}\)
2. \(64p^{8}-81\)
3. \(1-121s^{4}\)
4. \(y^2-64\)
5. \(49x^2-121p^{16}\)
6. \(-144a^2+25\)
7. \(81q^{4}-196s^2\)
8. \(b^2-169\)
9. \(121p^{8}-9\)
10. \(9-169b^{16}\)
11. \(x^2+18x+81\)
12. \(196s^{8}+420s^4+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81x^2-49s^{12}=(9x-7s^6)(9x+7s^6)\)
2. \(64p^{8}-81=(8p^4+9)(8p^4-9)\)
3. \(1-121s^{4}=(1-11s^2)(1+11s^2)\)
4. \(y^2-64=(y-8)(y+8)\)
5. \(49x^2-121p^{16}=(7x-11p^8)(7x+11p^8)\)
6. \(-144a^2+25=(5-12a)(5+12a)\)
7. \(81q^{4}-196s^2=(9q^2+14s)(9q^2-14s)\)
8. \(b^2-169=(b+13)(b-13)\)
9. \(121p^{8}-9=(11p^4+3)(11p^4-3)\)
10. \(9-169b^{16}=(3-13b^8)(3+13b^8)\)
11. \(x^2+18x+81=(x+9)^2\)
12. \(196s^{8}+420s^4+225=(14s^4+15)^2\)