Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-225\)
2. \(4s^2-49b^{10}\)
3. \(25s^{6}+140s^3+196\)
4. \(4y^2-121x^{10}\)
5. \(9s^{4}+24s^2+16\)
6. \(225y^2-49x^{16}\)
7. \(169-64q^{12}\)
8. \(25s^2-144b^{14}\)
9. \(y^2+30y+225\)
10. \(s^2-169\)
11. \(169a^2-416a+256\)
12. \(9s^{14}-169y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-225=(a-15)(a+15)\)
2. \(4s^2-49b^{10}=(2s-7b^5)(2s+7b^5)\)
3. \(25s^{6}+140s^3+196=(5s^3+14)^2\)
4. \(4y^2-121x^{10}=(2y-11x^5)(2y+11x^5)\)
5. \(9s^{4}+24s^2+16=(3s^2+4)^2\)
6. \(225y^2-49x^{16}=(15y-7x^8)(15y+7x^8)\)
7. \(169-64q^{12}=(13-8q^6)(13+8q^6)\)
8. \(25s^2-144b^{14}=(5s-12b^7)(5s+12b^7)\)
9. \(y^2+30y+225=(y+15)^2\)
10. \(s^2-169=(s-13)(s+13)\)
11. \(169a^2-416a+256=(13a-16)^2\)
12. \(9s^{14}-169y^2=(3s^7+13y)(3s^7-13y)\)