Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49-64a^{12}\)
2. \(p^2-196\)
3. \(x^2+22x+121\)
4. \(121s^{6}-36\)
5. \(64y^{6}-240y^3+225\)
6. \(225a^{10}-64q^2\)
7. \(y^2-169\)
8. \(q^2-6q+9\)
9. \(p^2-100\)
10. \(196b^2-252b+81\)
11. \(64b^{16}-81\)
12. \(64s^{6}-80s^3+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49-64a^{12}=(7-8a^6)(7+8a^6)\)
2. \(p^2-196=(p-14)(p+14)\)
3. \(x^2+22x+121=(x+11)^2\)
4. \(121s^{6}-36=(11s^3+6)(11s^3-6)\)
5. \(64y^{6}-240y^3+225=(8y^3-15)^2\)
6. \(225a^{10}-64q^2=(15a^5+8q)(15a^5-8q)\)
7. \(y^2-169=(y+13)(y-13)\)
8. \(q^2-6q+9=(q-3)^2\)
9. \(p^2-100=(p+10)(p-10)\)
10. \(196b^2-252b+81=(14b-9)^2\)
11. \(64b^{16}-81=(8b^8+9)(8b^8-9)\)
12. \(64s^{6}-80s^3+25=(8s^3-5)^2\)