Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-256p^{14}\)
2. \(81a^{4}+126a^2+49\)
3. \(121q^2-64b^{4}\)
4. \(64q^2-25\)
5. \(y^2-169\)
6. \(b^2-64\)
7. \(q^2-225\)
8. \(121b^{4}-220b^2s+100s^2\)
9. \(64a^{8}-112a^4+49\)
10. \(a^2-49\)
11. \(16y^{8}-24y^4+9\)
12. \(p^2-196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-256p^{14}=(3-16p^7)(3+16p^7)\)
2. \(81a^{4}+126a^2+49=(9a^2+7)^2\)
3. \(121q^2-64b^{4}=(11q-8b^2)(11q+8b^2)\)
4. \(64q^2-25=(8q+5)(8q-5)\)
5. \(y^2-169=(y-13)(y+13)\)
6. \(b^2-64=(b+8)(b-8)\)
7. \(q^2-225=(q-15)(q+15)\)
8. \(121b^{4}-220b^2s+100s^2=(11b^2-10s)^2\)
9. \(64a^{8}-112a^4+49=(8a^4-7)^2\)
10. \(a^2-49=(a+7)(a-7)\)
11. \(16y^{8}-24y^4+9=(4y^4-3)^2\)
12. \(p^2-196=(p+14)(p-14)\)