Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+6s+9\)
2. \(121s^{10}+264s^5+144\)
3. \(25a^2-70a+49\)
4. \(9b^{14}-4q^2\)
5. \(-36x^2+121\)
6. \(36a^2-132a+121\)
7. \(256y^{4}-9\)
8. \(169x^2+26x+1\)
9. \(x^2-4\)
10. \(100a^{8}-60a^4+9\)
11. \(-169s^2+36\)
12. \(196b^2+28b+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+6s+9=(s+3)^2\)
2. \(121s^{10}+264s^5+144=(11s^5+12)^2\)
3. \(25a^2-70a+49=(5a-7)^2\)
4. \(9b^{14}-4q^2=(3b^7+2q)(3b^7-2q)\)
5. \(-36x^2+121=(11-6x)(11+6x)\)
6. \(36a^2-132a+121=(6a-11)^2\)
7. \(256y^{4}-9=(16y^2+3)(16y^2-3)\)
8. \(169x^2+26x+1=(13x+1)^2\)
9. \(x^2-4=(x+2)(x-2)\)
10. \(100a^{8}-60a^4+9=(10a^4-3)^2\)
11. \(-169s^2+36=(6-13s)(6+13s)\)
12. \(196b^2+28b+1=(14b+1)^2\)