Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-25\)
2. \(169y^2+364y+196\)
3. \(-100y^2+9\)
4. \(q^2-25\)
5. \(9y^{10}+60y^5+100\)
6. \(100x^{4}-9y^2\)
7. \(36a^{8}+12a^4+1\)
8. \(169-36q^{6}\)
9. \(x^2-81\)
10. \(225y^2+30y+1\)
11. \(s^2-144\)
12. \(s^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-25=(x-5)(x+5)\)
2. \(169y^2+364y+196=(13y+14)^2\)
3. \(-100y^2+9=(3-10y)(3+10y)\)
4. \(q^2-25=(q+5)(q-5)\)
5. \(9y^{10}+60y^5+100=(3y^5+10)^2\)
6. \(100x^{4}-9y^2=(10x^2+3y)(10x^2-3y)\)
7. \(36a^{8}+12a^4+1=(6a^4+1)^2\)
8. \(169-36q^{6}=(13-6q^3)(13+6q^3)\)
9. \(x^2-81=(x-9)(x+9)\)
10. \(225y^2+30y+1=(15y+1)^2\)
11. \(s^2-144=(s-12)(s+12)\)
12. \(s^2-36=(s-6)(s+6)\)