Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4x^2+44x+121\)
2. \(81a^{8}-144a^4s+64s^2\)
3. \(b^2-28b+196\)
4. \(169a^2-144\)
5. \(121a^{6}-25y^2\)
6. \(225a^{10}+330a^5+121\)
7. \(196p^{10}+28p^5y+1y^2\)
8. \(256y^2-288y+81\)
9. \(121a^2+66a+9\)
10. \(144b^{10}+312b^5y+169y^2\)
11. \(a^2-4\)
12. \(100a^{4}+20a^2x+1x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4x^2+44x+121=(2x+11)^2\)
2. \(81a^{8}-144a^4s+64s^2=(9a^4-8s)^2\)
3. \(b^2-28b+196=(b-14)^2\)
4. \(169a^2-144=(13a+12)(13a-12)\)
5. \(121a^{6}-25y^2=(11a^3+5y)(11a^3-5y)\)
6. \(225a^{10}+330a^5+121=(15a^5+11)^2\)
7. \(196p^{10}+28p^5y+1y^2=(14p^5+y)^2\)
8. \(256y^2-288y+81=(16y-9)^2\)
9. \(121a^2+66a+9=(11a+3)^2\)
10. \(144b^{10}+312b^5y+169y^2=(12b^5+13y)^2\)
11. \(a^2-4=(a+2)(a-2)\)
12. \(100a^{4}+20a^2x+1x^2=(10a^2+x)^2\)