Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-26q+169\)
2. \(256y^2-25\)
3. \(49q^{4}+42q^2+9\)
4. \(s^2-16\)
5. \(225q^{6}-330q^3+121\)
6. \(25a^{6}-140a^3q+196q^2\)
7. \(225s^2+390s+169\)
8. \(169p^2-49b^{4}\)
9. \(169p^2+208p+64\)
10. \(121p^{8}+264p^4x+144x^2\)
11. \(-25b^2+9\)
12. \(4a^2+12a+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-26q+169=(q-13)^2\)
2. \(256y^2-25=(16y+5)(16y-5)\)
3. \(49q^{4}+42q^2+9=(7q^2+3)^2\)
4. \(s^2-16=(s+4)(s-4)\)
5. \(225q^{6}-330q^3+121=(15q^3-11)^2\)
6. \(25a^{6}-140a^3q+196q^2=(5a^3-14q)^2\)
7. \(225s^2+390s+169=(15s+13)^2\)
8. \(169p^2-49b^{4}=(13p-7b^2)(13p+7b^2)\)
9. \(169p^2+208p+64=(13p+8)^2\)
10. \(121p^{8}+264p^4x+144x^2=(11p^4+12x)^2\)
11. \(-25b^2+9=(3-5b)(3+5b)\)
12. \(4a^2+12a+9=(2a+3)^2\)