Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169s^2+130s+25\)
2. \(81-196p^{10}\)
3. \(256s^2+224s+49\)
4. \(9s^{10}-49\)
5. \(36q^{4}-60q^2+25\)
6. \(9x^2-196s^{10}\)
7. \(p^2+4p+4\)
8. \(144p^{6}-168p^3y+49y^2\)
9. \(25p^2-4b^{16}\)
10. \(a^2-1\)
11. \(16b^2+72b+81\)
12. \(81a^{8}-234a^4+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169s^2+130s+25=(13s+5)^2\)
2. \(81-196p^{10}=(9-14p^5)(9+14p^5)\)
3. \(256s^2+224s+49=(16s+7)^2\)
4. \(9s^{10}-49=(3s^5+7)(3s^5-7)\)
5. \(36q^{4}-60q^2+25=(6q^2-5)^2\)
6. \(9x^2-196s^{10}=(3x-14s^5)(3x+14s^5)\)
7. \(p^2+4p+4=(p+2)^2\)
8. \(144p^{6}-168p^3y+49y^2=(12p^3-7y)^2\)
9. \(25p^2-4b^{16}=(5p-2b^8)(5p+2b^8)\)
10. \(a^2-1=(a+1)(a-1)\)
11. \(16b^2+72b+81=(4b+9)^2\)
12. \(81a^{8}-234a^4+169=(9a^4-13)^2\)