Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36s^{10}-25\)
2. \(16q^{16}-169\)
3. \(9y^2-49q^{6}\)
4. \(25y^2-144q^{12}\)
5. \(x^2-64\)
6. \(a^2-28a+196\)
7. \(225-4q^{10}\)
8. \(p^2-10p+25\)
9. \(q^2-81\)
10. \(q^2+18q+81\)
11. \(225b^2-420b+196\)
12. \(a^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36s^{10}-25=(6s^5+5)(6s^5-5)\)
2. \(16q^{16}-169=(4q^8+13)(4q^8-13)\)
3. \(9y^2-49q^{6}=(3y-7q^3)(3y+7q^3)\)
4. \(25y^2-144q^{12}=(5y-12q^6)(5y+12q^6)\)
5. \(x^2-64=(x+8)(x-8)\)
6. \(a^2-28a+196=(a-14)^2\)
7. \(225-4q^{10}=(15-2q^5)(15+2q^5)\)
8. \(p^2-10p+25=(p-5)^2\)
9. \(q^2-81=(q+9)(q-9)\)
10. \(q^2+18q+81=(q+9)^2\)
11. \(225b^2-420b+196=(15b-14)^2\)
12. \(a^2-100=(a+10)(a-10)\)