Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^{8}+16a^4+1\)
2. \(144q^{4}-264q^2+121\)
3. \(p^2-144\)
4. \(169s^2+26s+1\)
5. \(36p^{6}+84p^3+49\)
6. \(81b^{12}-100y^2\)
7. \(169s^{10}+234s^5+81\)
8. \(9a^{4}-100\)
9. \(36b^{10}-60b^5+25\)
10. \(y^2+14y+49\)
11. \(256b^{10}-9\)
12. \(196x^2+84x+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^{8}+16a^4+1=(8a^4+1)^2\)
2. \(144q^{4}-264q^2+121=(12q^2-11)^2\)
3. \(p^2-144=(p-12)(p+12)\)
4. \(169s^2+26s+1=(13s+1)^2\)
5. \(36p^{6}+84p^3+49=(6p^3+7)^2\)
6. \(81b^{12}-100y^2=(9b^6+10y)(9b^6-10y)\)
7. \(169s^{10}+234s^5+81=(13s^5+9)^2\)
8. \(9a^{4}-100=(3a^2+10)(3a^2-10)\)
9. \(36b^{10}-60b^5+25=(6b^5-5)^2\)
10. \(y^2+14y+49=(y+7)^2\)
11. \(256b^{10}-9=(16b^5+3)(16b^5-3)\)
12. \(196x^2+84x+9=(14x+3)^2\)