Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-64q^{6}\)
2. \(49s^2-42s+9\)
3. \(256s^{10}+416s^5y+169y^2\)
4. \(225-64b^{10}\)
5. \(81b^{10}-169\)
6. \(q^2-6q+9\)
7. \(16s^{10}+24s^5x+9x^2\)
8. \(a^2-81\)
9. \(121b^{6}+286b^3q+169q^2\)
10. \(q^2-144\)
11. \(-100y^2+1\)
12. \(49y^{8}+14y^4+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-64q^{6}=(3-8q^3)(3+8q^3)\)
2. \(49s^2-42s+9=(7s-3)^2\)
3. \(256s^{10}+416s^5y+169y^2=(16s^5+13y)^2\)
4. \(225-64b^{10}=(15-8b^5)(15+8b^5)\)
5. \(81b^{10}-169=(9b^5+13)(9b^5-13)\)
6. \(q^2-6q+9=(q-3)^2\)
7. \(16s^{10}+24s^5x+9x^2=(4s^5+3x)^2\)
8. \(a^2-81=(a+9)(a-9)\)
9. \(121b^{6}+286b^3q+169q^2=(11b^3+13q)^2\)
10. \(q^2-144=(q-12)(q+12)\)
11. \(-100y^2+1=(1-10y)(1+10y)\)
12. \(49y^{8}+14y^4+1=(7y^4+1)^2\)