Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-26p+169\)
2. \(256a^{4}-1\)
3. \(49p^{14}-9\)
4. \(b^2-6b+9\)
5. \(a^2-12a+36\)
6. \(p^2-144\)
7. \(x^2-22x+121\)
8. \(256b^2-288b+81\)
9. \(9s^{10}-66s^5+121\)
10. \(y^2-49\)
11. \(64s^2-80s+25\)
12. \(25q^2-a^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-26p+169=(p-13)^2\)
2. \(256a^{4}-1=(16a^2+1)(16a^2-1)\)
3. \(49p^{14}-9=(7p^7+3)(7p^7-3)\)
4. \(b^2-6b+9=(b-3)^2\)
5. \(a^2-12a+36=(a-6)^2\)
6. \(p^2-144=(p-12)(p+12)\)
7. \(x^2-22x+121=(x-11)^2\)
8. \(256b^2-288b+81=(16b-9)^2\)
9. \(9s^{10}-66s^5+121=(3s^5-11)^2\)
10. \(y^2-49=(y+7)(y-7)\)
11. \(64s^2-80s+25=(8s-5)^2\)
12. \(25q^2-a^{6}=(5q-a^3)(5q+a^3)\)