Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-20a+100\)
2. \(p^2+12p+36\)
3. \(-16p^2+121\)
4. \(256x^2-q^{6}\)
5. \(81-169y^{8}\)
6. \(b^2-30b+225\)
7. \(s^2-28s+196\)
8. \(49a^{10}-42a^5+9\)
9. \(225s^2-420s+196\)
10. \(169x^2-196q^{4}\)
11. \(4b^2+4b+1\)
12. \(25p^{16}-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-20a+100=(a-10)^2\)
2. \(p^2+12p+36=(p+6)^2\)
3. \(-16p^2+121=(11-4p)(11+4p)\)
4. \(256x^2-q^{6}=(16x-q^3)(16x+q^3)\)
5. \(81-169y^{8}=(9-13y^4)(9+13y^4)\)
6. \(b^2-30b+225=(b-15)^2\)
7. \(s^2-28s+196=(s-14)^2\)
8. \(49a^{10}-42a^5+9=(7a^5-3)^2\)
9. \(225s^2-420s+196=(15s-14)^2\)
10. \(169x^2-196q^{4}=(13x-14q^2)(13x+14q^2)\)
11. \(4b^2+4b+1=(2b+1)^2\)
12. \(25p^{16}-81=(5p^8+9)(5p^8-9)\)