Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-16q^{8}\)
2. \(196b^{6}+420b^3+225\)
3. \(y^2-4\)
4. \(81b^2+18b+1\)
5. \(1-144a^{8}\)
6. \(x^2-196\)
7. \(x^2-30x+225\)
8. \(121x^{14}-196\)
9. \(x^2+28x+196\)
10. \(36y^{6}+84y^3+49\)
11. \(169y^{6}-156y^3+36\)
12. \(144x^2+24x+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-16q^{8}=(3-4q^4)(3+4q^4)\)
2. \(196b^{6}+420b^3+225=(14b^3+15)^2\)
3. \(y^2-4=(y+2)(y-2)\)
4. \(81b^2+18b+1=(9b+1)^2\)
5. \(1-144a^{8}=(1-12a^4)(1+12a^4)\)
6. \(x^2-196=(x+14)(x-14)\)
7. \(x^2-30x+225=(x-15)^2\)
8. \(121x^{14}-196=(11x^7+14)(11x^7-14)\)
9. \(x^2+28x+196=(x+14)^2\)
10. \(36y^{6}+84y^3+49=(6y^3+7)^2\)
11. \(169y^{6}-156y^3+36=(13y^3-6)^2\)
12. \(144x^2+24x+1=(12x+1)^2\)