Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169s^{8}-104s^4+16\)
2. \(225s^2+210s+49\)
3. \(p^2+26p+169\)
4. \(169-81s^{10}\)
5. \(81b^{6}+18b^3+1\)
6. \(169s^{10}+364s^5+196\)
7. \(121-169s^{12}\)
8. \(36x^{8}-25\)
9. \(256b^{4}+32b^2+1\)
10. \(81x^{6}-4\)
11. \(256s^{4}-480s^2+225\)
12. \(-256y^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169s^{8}-104s^4+16=(13s^4-4)^2\)
2. \(225s^2+210s+49=(15s+7)^2\)
3. \(p^2+26p+169=(p+13)^2\)
4. \(169-81s^{10}=(13-9s^5)(13+9s^5)\)
5. \(81b^{6}+18b^3+1=(9b^3+1)^2\)
6. \(169s^{10}+364s^5+196=(13s^5+14)^2\)
7. \(121-169s^{12}=(11-13s^6)(11+13s^6)\)
8. \(36x^{8}-25=(6x^4+5)(6x^4-5)\)
9. \(256b^{4}+32b^2+1=(16b^2+1)^2\)
10. \(81x^{6}-4=(9x^3+2)(9x^3-2)\)
11. \(256s^{4}-480s^2+225=(16s^2-15)^2\)
12. \(-256y^2+1=(1-16y)(1+16y)\)