Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-22a+121\)
2. \(256s^{4}+224s^2+49\)
3. \(49b^2-126b+81\)
4. \(256p^{4}-160p^2q+25q^2\)
5. \(b^2+10b+25\)
6. \(196x^2-9\)
7. \(49p^{6}-182p^3+169\)
8. \(225x^{10}+210x^5y+49y^2\)
9. \(81-49s^{6}\)
10. \(169p^2-144\)
11. \(49a^2-224a+256\)
12. \(81b^{4}-72b^2s+16s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-22a+121=(a-11)^2\)
2. \(256s^{4}+224s^2+49=(16s^2+7)^2\)
3. \(49b^2-126b+81=(7b-9)^2\)
4. \(256p^{4}-160p^2q+25q^2=(16p^2-5q)^2\)
5. \(b^2+10b+25=(b+5)^2\)
6. \(196x^2-9=(14x+3)(14x-3)\)
7. \(49p^{6}-182p^3+169=(7p^3-13)^2\)
8. \(225x^{10}+210x^5y+49y^2=(15x^5+7y)^2\)
9. \(81-49s^{6}=(9-7s^3)(9+7s^3)\)
10. \(169p^2-144=(13p+12)(13p-12)\)
11. \(49a^2-224a+256=(7a-16)^2\)
12. \(81b^{4}-72b^2s+16s^2=(9b^2-4s)^2\)