Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16a^{8}+24a^4+9\)
2. \(121p^{12}-225\)
3. \(225y^2+390y+169\)
4. \(x^2-9\)
5. \(121a^{12}-4\)
6. \(100b^{8}-121q^2\)
7. \(s^2+28s+196\)
8. \(225p^{4}+210p^2y+49y^2\)
9. \(81s^{6}-169\)
10. \(100p^{16}-1\)
11. \(25q^{6}-40q^3+16\)
12. \(s^2-26s+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16a^{8}+24a^4+9=(4a^4+3)^2\)
2. \(121p^{12}-225=(11p^6+15)(11p^6-15)\)
3. \(225y^2+390y+169=(15y+13)^2\)
4. \(x^2-9=(x-3)(x+3)\)
5. \(121a^{12}-4=(11a^6+2)(11a^6-2)\)
6. \(100b^{8}-121q^2=(10b^4+11q)(10b^4-11q)\)
7. \(s^2+28s+196=(s+14)^2\)
8. \(225p^{4}+210p^2y+49y^2=(15p^2+7y)^2\)
9. \(81s^{6}-169=(9s^3+13)(9s^3-13)\)
10. \(100p^{16}-1=(10p^8+1)(10p^8-1)\)
11. \(25q^{6}-40q^3+16=(5q^3-4)^2\)
12. \(s^2-26s+169=(s-13)^2\)