Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-169\)
2. \(256s^2-288s+81\)
3. \(64a^{6}+208a^3+169\)
4. \(x^2-64\)
5. \(49b^{10}-42b^5q+9q^2\)
6. \(100-121a^{6}\)
7. \(36y^2-25\)
8. \(a^2+22a+121\)
9. \(256a^{6}+352a^3b+121b^2\)
10. \(64q^{16}-1\)
11. \(225s^2-49q^{8}\)
12. \(49p^{10}+70p^5+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-169=(a-13)(a+13)\)
2. \(256s^2-288s+81=(16s-9)^2\)
3. \(64a^{6}+208a^3+169=(8a^3+13)^2\)
4. \(x^2-64=(x-8)(x+8)\)
5. \(49b^{10}-42b^5q+9q^2=(7b^5-3q)^2\)
6. \(100-121a^{6}=(10-11a^3)(10+11a^3)\)
7. \(36y^2-25=(6y+5)(6y-5)\)
8. \(a^2+22a+121=(a+11)^2\)
9. \(256a^{6}+352a^3b+121b^2=(16a^3+11b)^2\)
10. \(64q^{16}-1=(8q^8+1)(8q^8-1)\)
11. \(225s^2-49q^{8}=(15s-7q^4)(15s+7q^4)\)
12. \(49p^{10}+70p^5+25=(7p^5+5)^2\)