Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225y^{4}+30y^2+1\)
2. \(225s^{4}-330s^2+121\)
3. \(49q^{6}+140q^3+100\)
4. \(16p^{4}-56p^2+49\)
5. \(1-100y^{16}\)
6. \(16p^{16}-49\)
7. \(p^2-169\)
8. \(64b^{16}-225\)
9. \(49s^{6}+14s^3x+1x^2\)
10. \(81p^{8}-234p^4+169\)
11. \(25y^2-16q^{16}\)
12. \(100x^{8}-260x^4y+169y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225y^{4}+30y^2+1=(15y^2+1)^2\)
2. \(225s^{4}-330s^2+121=(15s^2-11)^2\)
3. \(49q^{6}+140q^3+100=(7q^3+10)^2\)
4. \(16p^{4}-56p^2+49=(4p^2-7)^2\)
5. \(1-100y^{16}=(1-10y^8)(1+10y^8)\)
6. \(16p^{16}-49=(4p^8+7)(4p^8-7)\)
7. \(p^2-169=(p+13)(p-13)\)
8. \(64b^{16}-225=(8b^8+15)(8b^8-15)\)
9. \(49s^{6}+14s^3x+1x^2=(7s^3+x)^2\)
10. \(81p^{8}-234p^4+169=(9p^4-13)^2\)
11. \(25y^2-16q^{16}=(5y-4q^8)(5y+4q^8)\)
12. \(100x^{8}-260x^4y+169y^2=(10x^4-13y)^2\)