Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25a^{4}-40a^2s+16s^2\)
2. \(64q^{8}-112q^4y+49y^2\)
3. \(100y^2-260y+169\)
4. \(y^2-4\)
5. \(9x^{16}-49\)
6. \(q^2-196\)
7. \(s^2-144\)
8. \(81x^2+36x+4\)
9. \(49-144a^{6}\)
10. \(144p^2-169\)
11. \(81a^{8}-169b^2\)
12. \(9b^{6}+6b^3s+1s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25a^{4}-40a^2s+16s^2=(5a^2-4s)^2\)
2. \(64q^{8}-112q^4y+49y^2=(8q^4-7y)^2\)
3. \(100y^2-260y+169=(10y-13)^2\)
4. \(y^2-4=(y+2)(y-2)\)
5. \(9x^{16}-49=(3x^8+7)(3x^8-7)\)
6. \(q^2-196=(q+14)(q-14)\)
7. \(s^2-144=(s+12)(s-12)\)
8. \(81x^2+36x+4=(9x+2)^2\)
9. \(49-144a^{6}=(7-12a^3)(7+12a^3)\)
10. \(144p^2-169=(12p+13)(12p-13)\)
11. \(81a^{8}-169b^2=(9a^4+13b)(9a^4-13b)\)
12. \(9b^{6}+6b^3s+1s^2=(3b^3+s)^2\)