Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49-81b^{8}\)
2. \(121x^2-196s^{16}\)
3. \(4a^{4}+60a^2p+225p^2\)
4. \(81b^2+18b+1\)
5. \(64b^2-240b+225\)
6. \(256s^{10}+288s^5+81\)
7. \(169s^2-4p^{14}\)
8. \(36q^{6}+84q^3y+49y^2\)
9. \(196a^2-308a+121\)
10. \(a^2+16a+64\)
11. \(225p^{10}-121s^2\)
12. \(225q^2-330q+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49-81b^{8}=(7-9b^4)(7+9b^4)\)
2. \(121x^2-196s^{16}=(11x-14s^8)(11x+14s^8)\)
3. \(4a^{4}+60a^2p+225p^2=(2a^2+15p)^2\)
4. \(81b^2+18b+1=(9b+1)^2\)
5. \(64b^2-240b+225=(8b-15)^2\)
6. \(256s^{10}+288s^5+81=(16s^5+9)^2\)
7. \(169s^2-4p^{14}=(13s-2p^7)(13s+2p^7)\)
8. \(36q^{6}+84q^3y+49y^2=(6q^3+7y)^2\)
9. \(196a^2-308a+121=(14a-11)^2\)
10. \(a^2+16a+64=(a+8)^2\)
11. \(225p^{10}-121s^2=(15p^5+11s)(15p^5-11s)\)
12. \(225q^2-330q+121=(15q-11)^2\)