Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^{6}-112a^3+49\)
2. \(25b^2+120b+144\)
3. \(225p^2-420p+196\)
4. \(144y^{6}-1\)
5. \(49p^{6}+14p^3+1\)
6. \(p^2-225\)
7. \(81-196q^{4}\)
8. \(225s^{6}-169\)
9. \(y^2-196\)
10. \(25-256a^{6}\)
11. \(s^2-10s+25\)
12. \(a^2-2a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^{6}-112a^3+49=(8a^3-7)^2\)
2. \(25b^2+120b+144=(5b+12)^2\)
3. \(225p^2-420p+196=(15p-14)^2\)
4. \(144y^{6}-1=(12y^3+1)(12y^3-1)\)
5. \(49p^{6}+14p^3+1=(7p^3+1)^2\)
6. \(p^2-225=(p-15)(p+15)\)
7. \(81-196q^{4}=(9-14q^2)(9+14q^2)\)
8. \(225s^{6}-169=(15s^3+13)(15s^3-13)\)
9. \(y^2-196=(y-14)(y+14)\)
10. \(25-256a^{6}=(5-16a^3)(5+16a^3)\)
11. \(s^2-10s+25=(s-5)^2\)
12. \(a^2-2a+1=(a-1)^2\)