Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-81s^2+121\)
2. \(144s^2-121\)
3. \(x^2-6x+9\)
4. \(49q^2+14q+1\)
5. \(64a^{10}+144a^5+81\)
6. \(q^2-9\)
7. \(36y^2-25\)
8. \(16b^{8}+8b^4q+1q^2\)
9. \(256s^2+480s+225\)
10. \(-9b^2+1\)
11. \(s^2+6s+9\)
12. \(36b^{16}-25s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-81s^2+121=(11-9s)(11+9s)\)
2. \(144s^2-121=(12s+11)(12s-11)\)
3. \(x^2-6x+9=(x-3)^2\)
4. \(49q^2+14q+1=(7q+1)^2\)
5. \(64a^{10}+144a^5+81=(8a^5+9)^2\)
6. \(q^2-9=(q+3)(q-3)\)
7. \(36y^2-25=(6y+5)(6y-5)\)
8. \(16b^{8}+8b^4q+1q^2=(4b^4+q)^2\)
9. \(256s^2+480s+225=(16s+15)^2\)
10. \(-9b^2+1=(1-3b)(1+3b)\)
11. \(s^2+6s+9=(s+3)^2\)
12. \(36b^{16}-25s^2=(6b^8+5s)(6b^8-5s)\)