Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100x^{8}-180x^4+81\)
2. \(169x^2-16b^{6}\)
3. \(256a^{6}+352a^3+121\)
4. \(a^2-24a+144\)
5. \(100s^{8}+260s^4y+169y^2\)
6. \(25x^2-90x+81\)
7. \(81y^2-169\)
8. \(121p^2-154p+49\)
9. \(49p^2+42p+9\)
10. \(s^2-225\)
11. \(25p^{10}-120p^5+144\)
12. \(100b^{4}+60b^2s+9s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100x^{8}-180x^4+81=(10x^4-9)^2\)
2. \(169x^2-16b^{6}=(13x-4b^3)(13x+4b^3)\)
3. \(256a^{6}+352a^3+121=(16a^3+11)^2\)
4. \(a^2-24a+144=(a-12)^2\)
5. \(100s^{8}+260s^4y+169y^2=(10s^4+13y)^2\)
6. \(25x^2-90x+81=(5x-9)^2\)
7. \(81y^2-169=(9y+13)(9y-13)\)
8. \(121p^2-154p+49=(11p-7)^2\)
9. \(49p^2+42p+9=(7p+3)^2\)
10. \(s^2-225=(s+15)(s-15)\)
11. \(25p^{10}-120p^5+144=(5p^5-12)^2\)
12. \(100b^{4}+60b^2s+9s^2=(10b^2+3s)^2\)