Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-121p^2+36\)
2. \(169y^2-196\)
3. \(s^2+20s+100\)
4. \(81a^{10}-144a^5x+64x^2\)
5. \(16y^{14}-169\)
6. \(25b^2-144a^{14}\)
7. \(169a^{10}-156a^5b+36b^2\)
8. \(p^2-81\)
9. \(81a^{4}+18a^2b+1b^2\)
10. \(9-49q^{14}\)
11. \(4a^2-81\)
12. \(9s^{10}-48s^5x+64x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-121p^2+36=(6-11p)(6+11p)\)
2. \(169y^2-196=(13y+14)(13y-14)\)
3. \(s^2+20s+100=(s+10)^2\)
4. \(81a^{10}-144a^5x+64x^2=(9a^5-8x)^2\)
5. \(16y^{14}-169=(4y^7+13)(4y^7-13)\)
6. \(25b^2-144a^{14}=(5b-12a^7)(5b+12a^7)\)
7. \(169a^{10}-156a^5b+36b^2=(13a^5-6b)^2\)
8. \(p^2-81=(p+9)(p-9)\)
9. \(81a^{4}+18a^2b+1b^2=(9a^2+b)^2\)
10. \(9-49q^{14}=(3-7q^7)(3+7q^7)\)
11. \(4a^2-81=(2a+9)(2a-9)\)
12. \(9s^{10}-48s^5x+64x^2=(3s^5-8x)^2\)