Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64s^{8}+176s^4+121\)
2. \(b^2-4b+4\)
3. \(y^2+26y+169\)
4. \(16b^2-a^{8}\)
5. \(25x^2-144\)
6. \(121a^2-64\)
7. \(25a^{10}+10a^5+1\)
8. \(36p^2-60p+25\)
9. \(225a^{8}+390a^4p+169p^2\)
10. \(-196p^2+81\)
11. \(9q^{8}-30q^4+25\)
12. \(196y^{4}+28y^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64s^{8}+176s^4+121=(8s^4+11)^2\)
2. \(b^2-4b+4=(b-2)^2\)
3. \(y^2+26y+169=(y+13)^2\)
4. \(16b^2-a^{8}=(4b-a^4)(4b+a^4)\)
5. \(25x^2-144=(5x+12)(5x-12)\)
6. \(121a^2-64=(11a+8)(11a-8)\)
7. \(25a^{10}+10a^5+1=(5a^5+1)^2\)
8. \(36p^2-60p+25=(6p-5)^2\)
9. \(225a^{8}+390a^4p+169p^2=(15a^4+13p)^2\)
10. \(-196p^2+81=(9-14p)(9+14p)\)
11. \(9q^{8}-30q^4+25=(3q^4-5)^2\)
12. \(196y^{4}+28y^2+1=(14y^2+1)^2\)