Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25a^{8}-140a^4q+196q^2\)
2. \(9s^2-121a^{16}\)
3. \(121s^2+330s+225\)
4. \(b^2-16\)
5. \(-25p^2+121\)
6. \(16b^{8}-88b^4x+121x^2\)
7. \(4q^2+44q+121\)
8. \(s^2-25\)
9. \(225-4a^{12}\)
10. \(9s^{4}+84s^2y+196y^2\)
11. \(9p^{8}+78p^4y+169y^2\)
12. \(q^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25a^{8}-140a^4q+196q^2=(5a^4-14q)^2\)
2. \(9s^2-121a^{16}=(3s-11a^8)(3s+11a^8)\)
3. \(121s^2+330s+225=(11s+15)^2\)
4. \(b^2-16=(b-4)(b+4)\)
5. \(-25p^2+121=(11-5p)(11+5p)\)
6. \(16b^{8}-88b^4x+121x^2=(4b^4-11x)^2\)
7. \(4q^2+44q+121=(2q+11)^2\)
8. \(s^2-25=(s-5)(s+5)\)
9. \(225-4a^{12}=(15-2a^6)(15+2a^6)\)
10. \(9s^{4}+84s^2y+196y^2=(3s^2+14y)^2\)
11. \(9p^{8}+78p^4y+169y^2=(3p^4+13y)^2\)
12. \(q^2-9=(q+3)(q-3)\)