Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81a^{6}-100\)
2. \(36a^{6}+132a^3y+121y^2\)
3. \(16-9a^{4}\)
4. \(169p^{6}+208p^3+64\)
5. \(49s^2-1\)
6. \(81y^{8}-49\)
7. \(25s^{10}-169\)
8. \(256a^2+416a+169\)
9. \(196b^2+28b+1\)
10. \(36x^2-a^{14}\)
11. \(x^2-196\)
12. \(b^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81a^{6}-100=(9a^3+10)(9a^3-10)\)
2. \(36a^{6}+132a^3y+121y^2=(6a^3+11y)^2\)
3. \(16-9a^{4}=(4-3a^2)(4+3a^2)\)
4. \(169p^{6}+208p^3+64=(13p^3+8)^2\)
5. \(49s^2-1=(7s+1)(7s-1)\)
6. \(81y^{8}-49=(9y^4+7)(9y^4-7)\)
7. \(25s^{10}-169=(5s^5+13)(5s^5-13)\)
8. \(256a^2+416a+169=(16a+13)^2\)
9. \(196b^2+28b+1=(14b+1)^2\)
10. \(36x^2-a^{14}=(6x-a^7)(6x+a^7)\)
11. \(x^2-196=(x+14)(x-14)\)
12. \(b^2-36=(b+6)(b-6)\)