Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-169\)
2. \(y^2-18y+81\)
3. \(9q^2-196a^{4}\)
4. \(p^2+4p+4\)
5. \(9a^{4}-196p^2\)
6. \(25a^{12}-121b^2\)
7. \(25y^2+120y+144\)
8. \(25y^{8}+60y^4+36\)
9. \(121-144p^{4}\)
10. \(169-49x^{12}\)
11. \(25p^{6}-4q^2\)
12. \(256y^2-s^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-169=(x+13)(x-13)\)
2. \(y^2-18y+81=(y-9)^2\)
3. \(9q^2-196a^{4}=(3q-14a^2)(3q+14a^2)\)
4. \(p^2+4p+4=(p+2)^2\)
5. \(9a^{4}-196p^2=(3a^2+14p)(3a^2-14p)\)
6. \(25a^{12}-121b^2=(5a^6+11b)(5a^6-11b)\)
7. \(25y^2+120y+144=(5y+12)^2\)
8. \(25y^{8}+60y^4+36=(5y^4+6)^2\)
9. \(121-144p^{4}=(11-12p^2)(11+12p^2)\)
10. \(169-49x^{12}=(13-7x^6)(13+7x^6)\)
11. \(25p^{6}-4q^2=(5p^3+2q)(5p^3-2q)\)
12. \(256y^2-s^{6}=(16y-s^3)(16y+s^3)\)