Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169b^{6}-16p^2\)
2. \(49y^{10}-84y^5+36\)
3. \(b^2-12b+36\)
4. \(36q^{8}-25x^2\)
5. \(81b^{10}+198b^5q+121q^2\)
6. \(256a^{6}+288a^3+81\)
7. \(144p^{6}+312p^3y+169y^2\)
8. \(196b^2+84b+9\)
9. \(16p^2-56p+49\)
10. \(100q^{4}-60q^2+9\)
11. \(64p^2-225\)
12. \(49y^2-121s^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169b^{6}-16p^2=(13b^3+4p)(13b^3-4p)\)
2. \(49y^{10}-84y^5+36=(7y^5-6)^2\)
3. \(b^2-12b+36=(b-6)^2\)
4. \(36q^{8}-25x^2=(6q^4+5x)(6q^4-5x)\)
5. \(81b^{10}+198b^5q+121q^2=(9b^5+11q)^2\)
6. \(256a^{6}+288a^3+81=(16a^3+9)^2\)
7. \(144p^{6}+312p^3y+169y^2=(12p^3+13y)^2\)
8. \(196b^2+84b+9=(14b+3)^2\)
9. \(16p^2-56p+49=(4p-7)^2\)
10. \(100q^{4}-60q^2+9=(10q^2-3)^2\)
11. \(64p^2-225=(8p+15)(8p-15)\)
12. \(49y^2-121s^{16}=(7y-11s^8)(7y+11s^8)\)