Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25-196q^{4}\)
2. \(64s^2+240s+225\)
3. \(49-16q^{14}\)
4. \(p^2-196\)
5. \(s^2-25\)
6. \(256q^{6}-169\)
7. \(q^2-4\)
8. \(-121x^2+25\)
9. \(81p^{6}+198p^3q+121q^2\)
10. \(36y^{16}-1\)
11. \(64b^{8}+112b^4+49\)
12. \(s^2+2s+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25-196q^{4}=(5-14q^2)(5+14q^2)\)
2. \(64s^2+240s+225=(8s+15)^2\)
3. \(49-16q^{14}=(7-4q^7)(7+4q^7)\)
4. \(p^2-196=(p-14)(p+14)\)
5. \(s^2-25=(s+5)(s-5)\)
6. \(256q^{6}-169=(16q^3+13)(16q^3-13)\)
7. \(q^2-4=(q-2)(q+2)\)
8. \(-121x^2+25=(5-11x)(5+11x)\)
9. \(81p^{6}+198p^3q+121q^2=(9p^3+11q)^2\)
10. \(36y^{16}-1=(6y^8+1)(6y^8-1)\)
11. \(64b^{8}+112b^4+49=(8b^4+7)^2\)
12. \(s^2+2s+1=(s+1)^2\)