Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-169\)
2. \(25s^2-36b^{4}\)
3. \(a^2-9\)
4. \(9p^{6}-48p^3s+64s^2\)
5. \(9b^2-64a^{6}\)
6. \(256x^{16}-1\)
7. \(s^2-24s+144\)
8. \(169q^{10}-16\)
9. \(100a^2-260a+169\)
10. \(36x^2-169\)
11. \(144a^{14}-25\)
12. \(36b^{8}-60b^4s+25s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-169=(a+13)(a-13)\)
2. \(25s^2-36b^{4}=(5s-6b^2)(5s+6b^2)\)
3. \(a^2-9=(a-3)(a+3)\)
4. \(9p^{6}-48p^3s+64s^2=(3p^3-8s)^2\)
5. \(9b^2-64a^{6}=(3b-8a^3)(3b+8a^3)\)
6. \(256x^{16}-1=(16x^8+1)(16x^8-1)\)
7. \(s^2-24s+144=(s-12)^2\)
8. \(169q^{10}-16=(13q^5+4)(13q^5-4)\)
9. \(100a^2-260a+169=(10a-13)^2\)
10. \(36x^2-169=(6x+13)(6x-13)\)
11. \(144a^{14}-25=(12a^7+5)(12a^7-5)\)
12. \(36b^{8}-60b^4s+25s^2=(6b^4-5s)^2\)