Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121-49y^{16}\)
2. \(49p^{14}-144y^2\)
3. \(9s^{10}-84s^5+196\)
4. \(25x^2-4q^{14}\)
5. \(25p^{12}-9s^2\)
6. \(36a^{8}-132a^4q+121q^2\)
7. \(25s^{10}+60s^5+36\)
8. \(169-196a^{12}\)
9. \(q^2-196\)
10. \(16b^{10}+56b^5y+49y^2\)
11. \(25p^2+130p+169\)
12. \(4-49y^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121-49y^{16}=(11-7y^8)(11+7y^8)\)
2. \(49p^{14}-144y^2=(7p^7+12y)(7p^7-12y)\)
3. \(9s^{10}-84s^5+196=(3s^5-14)^2\)
4. \(25x^2-4q^{14}=(5x-2q^7)(5x+2q^7)\)
5. \(25p^{12}-9s^2=(5p^6+3s)(5p^6-3s)\)
6. \(36a^{8}-132a^4q+121q^2=(6a^4-11q)^2\)
7. \(25s^{10}+60s^5+36=(5s^5+6)^2\)
8. \(169-196a^{12}=(13-14a^6)(13+14a^6)\)
9. \(q^2-196=(q+14)(q-14)\)
10. \(16b^{10}+56b^5y+49y^2=(4b^5+7y)^2\)
11. \(25p^2+130p+169=(5p+13)^2\)
12. \(4-49y^{14}=(2-7y^7)(2+7y^7)\)