Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169-100q^{6}\)
2. \(s^2-25\)
3. \(64a^{6}-121q^2\)
4. \(16a^{10}+24a^5p+9p^2\)
5. \(25-144a^{16}\)
6. \(256p^{4}-288p^2s+81s^2\)
7. \(49p^2-16a^{6}\)
8. \(9b^2-169\)
9. \(p^2-225\)
10. \(256b^{16}-9s^2\)
11. \(b^2-121\)
12. \(-81q^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169-100q^{6}=(13-10q^3)(13+10q^3)\)
2. \(s^2-25=(s-5)(s+5)\)
3. \(64a^{6}-121q^2=(8a^3+11q)(8a^3-11q)\)
4. \(16a^{10}+24a^5p+9p^2=(4a^5+3p)^2\)
5. \(25-144a^{16}=(5-12a^8)(5+12a^8)\)
6. \(256p^{4}-288p^2s+81s^2=(16p^2-9s)^2\)
7. \(49p^2-16a^{6}=(7p-4a^3)(7p+4a^3)\)
8. \(9b^2-169=(3b+13)(3b-13)\)
9. \(p^2-225=(p-15)(p+15)\)
10. \(256b^{16}-9s^2=(16b^8+3s)(16b^8-3s)\)
11. \(b^2-121=(b-11)(b+11)\)
12. \(-81q^2+1=(1-9q)(1+9q)\)