Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9s^2-4q^{12}\)
2. \(196p^2+364p+169\)
3. \(9-169p^{16}\)
4. \(100-49y^{6}\)
5. \(16s^2-24s+9\)
6. \(-121a^2+1\)
7. \(a^2+2a+1\)
8. \(64b^{6}+48b^3y+9y^2\)
9. \(100s^2-121\)
10. \(225b^2+30b+1\)
11. \(b^2+18b+81\)
12. \(169a^{16}-36s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9s^2-4q^{12}=(3s-2q^6)(3s+2q^6)\)
2. \(196p^2+364p+169=(14p+13)^2\)
3. \(9-169p^{16}=(3-13p^8)(3+13p^8)\)
4. \(100-49y^{6}=(10-7y^3)(10+7y^3)\)
5. \(16s^2-24s+9=(4s-3)^2\)
6. \(-121a^2+1=(1-11a)(1+11a)\)
7. \(a^2+2a+1=(a+1)^2\)
8. \(64b^{6}+48b^3y+9y^2=(8b^3+3y)^2\)
9. \(100s^2-121=(10s+11)(10s-11)\)
10. \(225b^2+30b+1=(15b+1)^2\)
11. \(b^2+18b+81=(b+9)^2\)
12. \(169a^{16}-36s^2=(13a^8+6s)(13a^8-6s)\)