Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4b^{8}+4b^4+1\)
2. \(121p^2-169\)
3. \(100p^{14}-81y^2\)
4. \(49y^2-144\)
5. \(81y^2-234y+169\)
6. \(81a^2-100\)
7. \(y^2-196\)
8. \(121a^{8}+264a^4+144\)
9. \(4a^2+4a+1\)
10. \(121p^2-256a^{12}\)
11. \(196a^{8}+252a^4+81\)
12. \(25b^2-40b+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4b^{8}+4b^4+1=(2b^4+1)^2\)
2. \(121p^2-169=(11p+13)(11p-13)\)
3. \(100p^{14}-81y^2=(10p^7+9y)(10p^7-9y)\)
4. \(49y^2-144=(7y+12)(7y-12)\)
5. \(81y^2-234y+169=(9y-13)^2\)
6. \(81a^2-100=(9a+10)(9a-10)\)
7. \(y^2-196=(y+14)(y-14)\)
8. \(121a^{8}+264a^4+144=(11a^4+12)^2\)
9. \(4a^2+4a+1=(2a+1)^2\)
10. \(121p^2-256a^{12}=(11p-16a^6)(11p+16a^6)\)
11. \(196a^{8}+252a^4+81=(14a^4+9)^2\)
12. \(25b^2-40b+16=(5b-4)^2\)