Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64p^{8}-208p^4q+169q^2\)
2. \(-169p^2+9\)
3. \(9q^{4}-66q^2y+121y^2\)
4. \(256a^2+416a+169\)
5. \(s^2-14s+49\)
6. \(144s^2-25\)
7. \(64s^2-208s+169\)
8. \(-256x^2+121\)
9. \(a^2-196\)
10. \(s^2-16\)
11. \(-196x^2+121\)
12. \(16s^{8}+40s^4+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64p^{8}-208p^4q+169q^2=(8p^4-13q)^2\)
2. \(-169p^2+9=(3-13p)(3+13p)\)
3. \(9q^{4}-66q^2y+121y^2=(3q^2-11y)^2\)
4. \(256a^2+416a+169=(16a+13)^2\)
5. \(s^2-14s+49=(s-7)^2\)
6. \(144s^2-25=(12s+5)(12s-5)\)
7. \(64s^2-208s+169=(8s-13)^2\)
8. \(-256x^2+121=(11-16x)(11+16x)\)
9. \(a^2-196=(a+14)(a-14)\)
10. \(s^2-16=(s-4)(s+4)\)
11. \(-196x^2+121=(11-14x)(11+14x)\)
12. \(16s^{8}+40s^4+25=(4s^4+5)^2\)