Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-28y+196\)
2. \(x^2-64\)
3. \(36b^{14}-25s^2\)
4. \(169b^{4}-156b^2x+36x^2\)
5. \(p^2-4p+4\)
6. \(s^2-26s+169\)
7. \(s^2-10s+25\)
8. \(-196q^2+9\)
9. \(16-25y^{6}\)
10. \(100s^{8}-260s^4+169\)
11. \(25b^{10}-20b^5x+4x^2\)
12. \(64p^2+16p+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-28y+196=(y-14)^2\)
2. \(x^2-64=(x-8)(x+8)\)
3. \(36b^{14}-25s^2=(6b^7+5s)(6b^7-5s)\)
4. \(169b^{4}-156b^2x+36x^2=(13b^2-6x)^2\)
5. \(p^2-4p+4=(p-2)^2\)
6. \(s^2-26s+169=(s-13)^2\)
7. \(s^2-10s+25=(s-5)^2\)
8. \(-196q^2+9=(3-14q)(3+14q)\)
9. \(16-25y^{6}=(4-5y^3)(4+5y^3)\)
10. \(100s^{8}-260s^4+169=(10s^4-13)^2\)
11. \(25b^{10}-20b^5x+4x^2=(5b^5-2x)^2\)
12. \(64p^2+16p+1=(8p+1)^2\)