Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121-16a^{12}\)
2. \(144a^{4}-264a^2s+121s^2\)
3. \(196b^2-81\)
4. \(121p^{10}-286p^5+169\)
5. \(196p^{8}-225x^2\)
6. \(y^2-225\)
7. \(169a^{8}+26a^4p+1p^2\)
8. \(225p^{12}-16q^2\)
9. \(a^2+30a+225\)
10. \(225a^{4}+390a^2s+169s^2\)
11. \(49p^{10}-9s^2\)
12. \(x^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121-16a^{12}=(11-4a^6)(11+4a^6)\)
2. \(144a^{4}-264a^2s+121s^2=(12a^2-11s)^2\)
3. \(196b^2-81=(14b+9)(14b-9)\)
4. \(121p^{10}-286p^5+169=(11p^5-13)^2\)
5. \(196p^{8}-225x^2=(14p^4+15x)(14p^4-15x)\)
6. \(y^2-225=(y+15)(y-15)\)
7. \(169a^{8}+26a^4p+1p^2=(13a^4+p)^2\)
8. \(225p^{12}-16q^2=(15p^6+4q)(15p^6-4q)\)
9. \(a^2+30a+225=(a+15)^2\)
10. \(225a^{4}+390a^2s+169s^2=(15a^2+13s)^2\)
11. \(49p^{10}-9s^2=(7p^5+3s)(7p^5-3s)\)
12. \(x^2-121=(x+11)(x-11)\)