Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^{6}-169\)
2. \(225-4a^{8}\)
3. \(169x^{10}-196\)
4. \(25a^{4}-20a^2q+4q^2\)
5. \(196y^{12}-1\)
6. \(b^2+12b+36\)
7. \(b^2-100\)
8. \(256a^{8}-160a^4+25\)
9. \(q^2-64\)
10. \(49-225s^{16}\)
11. \(36s^{4}+12s^2y+1y^2\)
12. \(169y^2-225p^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^{6}-169=(6q^3+13)(6q^3-13)\)
2. \(225-4a^{8}=(15-2a^4)(15+2a^4)\)
3. \(169x^{10}-196=(13x^5+14)(13x^5-14)\)
4. \(25a^{4}-20a^2q+4q^2=(5a^2-2q)^2\)
5. \(196y^{12}-1=(14y^6+1)(14y^6-1)\)
6. \(b^2+12b+36=(b+6)^2\)
7. \(b^2-100=(b+10)(b-10)\)
8. \(256a^{8}-160a^4+25=(16a^4-5)^2\)
9. \(q^2-64=(q-8)(q+8)\)
10. \(49-225s^{16}=(7-15s^8)(7+15s^8)\)
11. \(36s^{4}+12s^2y+1y^2=(6s^2+y)^2\)
12. \(169y^2-225p^{14}=(13y-15p^7)(13y+15p^7)\)