Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2+28p+196\)
2. \(169b^{8}-225\)
3. \(36a^{14}-121p^2\)
4. \(4q^2-25p^{14}\)
5. \(25s^2-144\)
6. \(x^2+18x+81\)
7. \(4s^2-169\)
8. \(x^2-49\)
9. \(36a^{10}-132a^5p+121p^2\)
10. \(9a^{4}+24a^2+16\)
11. \(64b^{6}-225s^2\)
12. \(169s^{16}-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2+28p+196=(p+14)^2\)
2. \(169b^{8}-225=(13b^4+15)(13b^4-15)\)
3. \(36a^{14}-121p^2=(6a^7+11p)(6a^7-11p)\)
4. \(4q^2-25p^{14}=(2q-5p^7)(2q+5p^7)\)
5. \(25s^2-144=(5s+12)(5s-12)\)
6. \(x^2+18x+81=(x+9)^2\)
7. \(4s^2-169=(2s+13)(2s-13)\)
8. \(x^2-49=(x-7)(x+7)\)
9. \(36a^{10}-132a^5p+121p^2=(6a^5-11p)^2\)
10. \(9a^{4}+24a^2+16=(3a^2+4)^2\)
11. \(64b^{6}-225s^2=(8b^3+15s)(8b^3-15s)\)
12. \(169s^{16}-49=(13s^8+7)(13s^8-7)\)