Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+10s+25\)
2. \(169a^{12}-81\)
3. \(x^2-49\)
4. \(49x^{10}+154x^5+121\)
5. \(s^2-36\)
6. \(25s^2-1\)
7. \(25s^2-16a^{16}\)
8. \(-64y^2+25\)
9. \(64s^{8}-1\)
10. \(9a^{4}-84a^2+196\)
11. \(49q^{10}-224q^5+256\)
12. \(196s^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+10s+25=(s+5)^2\)
2. \(169a^{12}-81=(13a^6+9)(13a^6-9)\)
3. \(x^2-49=(x-7)(x+7)\)
4. \(49x^{10}+154x^5+121=(7x^5+11)^2\)
5. \(s^2-36=(s+6)(s-6)\)
6. \(25s^2-1=(5s+1)(5s-1)\)
7. \(25s^2-16a^{16}=(5s-4a^8)(5s+4a^8)\)
8. \(-64y^2+25=(5-8y)(5+8y)\)
9. \(64s^{8}-1=(8s^4+1)(8s^4-1)\)
10. \(9a^{4}-84a^2+196=(3a^2-14)^2\)
11. \(49q^{10}-224q^5+256=(7q^5-16)^2\)
12. \(196s^2-81=(14s+9)(14s-9)\)