Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4q^{6}+52q^3+169\)
2. \(225y^2+210y+49\)
3. \(81q^{8}-234q^4x+169x^2\)
4. \(196a^2+28a+1\)
5. \(36s^2-q^{12}\)
6. \(1-64b^{6}\)
7. \(q^2-49\)
8. \(a^2-26a+169\)
9. \(196a^{4}-169y^2\)
10. \(225s^2-420s+196\)
11. \(4-225x^{8}\)
12. \(s^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4q^{6}+52q^3+169=(2q^3+13)^2\)
2. \(225y^2+210y+49=(15y+7)^2\)
3. \(81q^{8}-234q^4x+169x^2=(9q^4-13x)^2\)
4. \(196a^2+28a+1=(14a+1)^2\)
5. \(36s^2-q^{12}=(6s-q^6)(6s+q^6)\)
6. \(1-64b^{6}=(1-8b^3)(1+8b^3)\)
7. \(q^2-49=(q+7)(q-7)\)
8. \(a^2-26a+169=(a-13)^2\)
9. \(196a^{4}-169y^2=(14a^2+13y)(14a^2-13y)\)
10. \(225s^2-420s+196=(15s-14)^2\)
11. \(4-225x^{8}=(2-15x^4)(2+15x^4)\)
12. \(s^2-100=(s+10)(s-10)\)