Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169s^2-256a^{14}\)
2. \(a^2-64\)
3. \(s^2-12s+36\)
4. \(100x^{4}-60x^2+9\)
5. \(225s^2-1\)
6. \(196s^2-364s+169\)
7. \(169s^2-156s+36\)
8. \(9y^2-49\)
9. \(y^2+30y+225\)
10. \(p^2-26p+169\)
11. \(169q^2-81\)
12. \(s^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169s^2-256a^{14}=(13s-16a^7)(13s+16a^7)\)
2. \(a^2-64=(a-8)(a+8)\)
3. \(s^2-12s+36=(s-6)^2\)
4. \(100x^{4}-60x^2+9=(10x^2-3)^2\)
5. \(225s^2-1=(15s+1)(15s-1)\)
6. \(196s^2-364s+169=(14s-13)^2\)
7. \(169s^2-156s+36=(13s-6)^2\)
8. \(9y^2-49=(3y+7)(3y-7)\)
9. \(y^2+30y+225=(y+15)^2\)
10. \(p^2-26p+169=(p-13)^2\)
11. \(169q^2-81=(13q+9)(13q-9)\)
12. \(s^2-49=(s-7)(s+7)\)