Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^{16}-25\)
2. \(-169p^2+81\)
3. \(16p^2-81\)
4. \(q^2-64\)
5. \(225b^2-330b+121\)
6. \(49p^{4}-140p^2y+100y^2\)
7. \(81s^2-196\)
8. \(s^2+12s+36\)
9. \(169y^{6}-156y^3+36\)
10. \(b^2-24b+144\)
11. \(121y^2-64p^{16}\)
12. \(196q^{12}-169s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^{16}-25=(13q^8+5)(13q^8-5)\)
2. \(-169p^2+81=(9-13p)(9+13p)\)
3. \(16p^2-81=(4p+9)(4p-9)\)
4. \(q^2-64=(q-8)(q+8)\)
5. \(225b^2-330b+121=(15b-11)^2\)
6. \(49p^{4}-140p^2y+100y^2=(7p^2-10y)^2\)
7. \(81s^2-196=(9s+14)(9s-14)\)
8. \(s^2+12s+36=(s+6)^2\)
9. \(169y^{6}-156y^3+36=(13y^3-6)^2\)
10. \(b^2-24b+144=(b-12)^2\)
11. \(121y^2-64p^{16}=(11y-8p^8)(11y+8p^8)\)
12. \(196q^{12}-169s^2=(14q^6+13s)(14q^6-13s)\)