Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16b^2+104b+169\)
2. \(64b^2-1\)
3. \(-256q^2+1\)
4. \(s^2-28s+196\)
5. \(36x^2+12x+1\)
6. \(-9a^2+1\)
7. \(100-9x^{8}\)
8. \(121q^2-169a^{6}\)
9. \(36s^2+132s+121\)
10. \(9y^2-64a^{16}\)
11. \(196p^2+28p+1\)
12. \(49a^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16b^2+104b+169=(4b+13)^2\)
2. \(64b^2-1=(8b+1)(8b-1)\)
3. \(-256q^2+1=(1-16q)(1+16q)\)
4. \(s^2-28s+196=(s-14)^2\)
5. \(36x^2+12x+1=(6x+1)^2\)
6. \(-9a^2+1=(1-3a)(1+3a)\)
7. \(100-9x^{8}=(10-3x^4)(10+3x^4)\)
8. \(121q^2-169a^{6}=(11q-13a^3)(11q+13a^3)\)
9. \(36s^2+132s+121=(6s+11)^2\)
10. \(9y^2-64a^{16}=(3y-8a^8)(3y+8a^8)\)
11. \(196p^2+28p+1=(14p+1)^2\)
12. \(49a^2-64=(7a+8)(7a-8)\)