Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196y^{4}+28y^2+1\)
2. \(169b^2-36\)
3. \(a^{12}-225p^2\)
4. \(121-16p^{14}\)
5. \(81a^{4}-16s^2\)
6. \(x^2-28x+196\)
7. \(225y^2-420y+196\)
8. \(16x^2-88x+121\)
9. \(25x^{10}-121\)
10. \(81p^2+18p+1\)
11. \(81s^2+144s+64\)
12. \(a^2+4a+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196y^{4}+28y^2+1=(14y^2+1)^2\)
2. \(169b^2-36=(13b+6)(13b-6)\)
3. \(a^{12}-225p^2=(a^6+15p)(a^6-15p)\)
4. \(121-16p^{14}=(11-4p^7)(11+4p^7)\)
5. \(81a^{4}-16s^2=(9a^2+4s)(9a^2-4s)\)
6. \(x^2-28x+196=(x-14)^2\)
7. \(225y^2-420y+196=(15y-14)^2\)
8. \(16x^2-88x+121=(4x-11)^2\)
9. \(25x^{10}-121=(5x^5+11)(5x^5-11)\)
10. \(81p^2+18p+1=(9p+1)^2\)
11. \(81s^2+144s+64=(9s+8)^2\)
12. \(a^2+4a+4=(a+2)^2\)