Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81a^{10}-36a^5s+4s^2\)
2. \(9x^2-121s^{16}\)
3. \(9b^2+60b+100\)
4. \(a^2-225\)
5. \(225q^{6}+390q^3x+169x^2\)
6. \(p^2-64\)
7. \(25b^2+30b+9\)
8. \(49b^{4}-42b^2+9\)
9. \(25s^2-196\)
10. \(256a^{8}-81\)
11. \(144-121s^{14}\)
12. \(196s^{10}-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81a^{10}-36a^5s+4s^2=(9a^5-2s)^2\)
2. \(9x^2-121s^{16}=(3x-11s^8)(3x+11s^8)\)
3. \(9b^2+60b+100=(3b+10)^2\)
4. \(a^2-225=(a-15)(a+15)\)
5. \(225q^{6}+390q^3x+169x^2=(15q^3+13x)^2\)
6. \(p^2-64=(p-8)(p+8)\)
7. \(25b^2+30b+9=(5b+3)^2\)
8. \(49b^{4}-42b^2+9=(7b^2-3)^2\)
9. \(25s^2-196=(5s+14)(5s-14)\)
10. \(256a^{8}-81=(16a^4+9)(16a^4-9)\)
11. \(144-121s^{14}=(12-11s^7)(12+11s^7)\)
12. \(196s^{10}-25=(14s^5+5)(14s^5-5)\)