Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-121\)
2. \(-9s^2+16\)
3. \(121a^{8}-286a^4y+169y^2\)
4. \(49y^2-100x^{8}\)
5. \(169q^{10}+52q^5s+4s^2\)
6. \(169q^2-104q+16\)
7. \(144q^{6}-121s^2\)
8. \(100a^{6}-260a^3+169\)
9. \(b^2-9\)
10. \(64q^2-1\)
11. \(q^2-18q+81\)
12. \(y^2+10y+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-121=(s-11)(s+11)\)
2. \(-9s^2+16=(4-3s)(4+3s)\)
3. \(121a^{8}-286a^4y+169y^2=(11a^4-13y)^2\)
4. \(49y^2-100x^{8}=(7y-10x^4)(7y+10x^4)\)
5. \(169q^{10}+52q^5s+4s^2=(13q^5+2s)^2\)
6. \(169q^2-104q+16=(13q-4)^2\)
7. \(144q^{6}-121s^2=(12q^3+11s)(12q^3-11s)\)
8. \(100a^{6}-260a^3+169=(10a^3-13)^2\)
9. \(b^2-9=(b+3)(b-3)\)
10. \(64q^2-1=(8q+1)(8q-1)\)
11. \(q^2-18q+81=(q-9)^2\)
12. \(y^2+10y+25=(y+5)^2\)