Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196a^{16}-9q^2\)
2. \(36s^2-132s+121\)
3. \(225y^2-330y+121\)
4. \(a^2-18a+81\)
5. \(100a^{10}-260a^5p+169p^2\)
6. \(81p^2-100\)
7. \(a^2-20a+100\)
8. \(64x^2-9\)
9. \(y^2+28y+196\)
10. \(9a^{6}-16p^2\)
11. \(p^2-25\)
12. \(x^2+12x+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196a^{16}-9q^2=(14a^8+3q)(14a^8-3q)\)
2. \(36s^2-132s+121=(6s-11)^2\)
3. \(225y^2-330y+121=(15y-11)^2\)
4. \(a^2-18a+81=(a-9)^2\)
5. \(100a^{10}-260a^5p+169p^2=(10a^5-13p)^2\)
6. \(81p^2-100=(9p+10)(9p-10)\)
7. \(a^2-20a+100=(a-10)^2\)
8. \(64x^2-9=(8x+3)(8x-3)\)
9. \(y^2+28y+196=(y+14)^2\)
10. \(9a^{6}-16p^2=(3a^3+4p)(3a^3-4p)\)
11. \(p^2-25=(p-5)(p+5)\)
12. \(x^2+12x+36=(x+6)^2\)