Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81b^{10}-234b^5+169\)
2. \(49q^{8}-140q^4s+100s^2\)
3. \(225-4x^{10}\)
4. \(144p^2-1\)
5. \(81b^2-144b+64\)
6. \(4y^2+4y+1\)
7. \(p^2-36\)
8. \(81a^{8}-36a^4y+4y^2\)
9. \(121x^2-169\)
10. \(256q^{10}+352q^5s+121s^2\)
11. \(s^2-196\)
12. \(25q^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81b^{10}-234b^5+169=(9b^5-13)^2\)
2. \(49q^{8}-140q^4s+100s^2=(7q^4-10s)^2\)
3. \(225-4x^{10}=(15-2x^5)(15+2x^5)\)
4. \(144p^2-1=(12p+1)(12p-1)\)
5. \(81b^2-144b+64=(9b-8)^2\)
6. \(4y^2+4y+1=(2y+1)^2\)
7. \(p^2-36=(p+6)(p-6)\)
8. \(81a^{8}-36a^4y+4y^2=(9a^4-2y)^2\)
9. \(121x^2-169=(11x+13)(11x-13)\)
10. \(256q^{10}+352q^5s+121s^2=(16q^5+11s)^2\)
11. \(s^2-196=(s+14)(s-14)\)
12. \(25q^2-64=(5q+8)(5q-8)\)