Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121y^{10}+132y^5+36\)
2. \(x^2-169\)
3. \(36a^{4}-132a^2+121\)
4. \(196p^{8}+28p^4s+1s^2\)
5. \(25-169s^{10}\)
6. \(9q^2-66q+121\)
7. \(25q^2-90q+81\)
8. \(16x^2+8x+1\)
9. \(225q^{6}+210q^3s+49s^2\)
10. \(225q^2-49\)
11. \(169p^2-81\)
12. \(225p^{6}-4q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121y^{10}+132y^5+36=(11y^5+6)^2\)
2. \(x^2-169=(x+13)(x-13)\)
3. \(36a^{4}-132a^2+121=(6a^2-11)^2\)
4. \(196p^{8}+28p^4s+1s^2=(14p^4+s)^2\)
5. \(25-169s^{10}=(5-13s^5)(5+13s^5)\)
6. \(9q^2-66q+121=(3q-11)^2\)
7. \(25q^2-90q+81=(5q-9)^2\)
8. \(16x^2+8x+1=(4x+1)^2\)
9. \(225q^{6}+210q^3s+49s^2=(15q^3+7s)^2\)
10. \(225q^2-49=(15q+7)(15q-7)\)
11. \(169p^2-81=(13p+9)(13p-9)\)
12. \(225p^{6}-4q^2=(15p^3+2q)(15p^3-2q)\)