Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225-49q^{6}\)
2. \(-121y^2+196\)
3. \(256y^2-81\)
4. \(-196p^2+9\)
5. \(196q^{4}+84q^2+9\)
6. \(a^2-14a+49\)
7. \(4y^{12}-225\)
8. \(169-49b^{12}\)
9. \(100b^{6}+140b^3s+49s^2\)
10. \(49a^{10}-81s^2\)
11. \(25b^{10}+120b^5+144\)
12. \(9b^{12}-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225-49q^{6}=(15-7q^3)(15+7q^3)\)
2. \(-121y^2+196=(14-11y)(14+11y)\)
3. \(256y^2-81=(16y+9)(16y-9)\)
4. \(-196p^2+9=(3-14p)(3+14p)\)
5. \(196q^{4}+84q^2+9=(14q^2+3)^2\)
6. \(a^2-14a+49=(a-7)^2\)
7. \(4y^{12}-225=(2y^6+15)(2y^6-15)\)
8. \(169-49b^{12}=(13-7b^6)(13+7b^6)\)
9. \(100b^{6}+140b^3s+49s^2=(10b^3+7s)^2\)
10. \(49a^{10}-81s^2=(7a^5+9s)(7a^5-9s)\)
11. \(25b^{10}+120b^5+144=(5b^5+12)^2\)
12. \(9b^{12}-16=(3b^6+4)(3b^6-4)\)