Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196p^{8}-252p^4y+81y^2\)
2. \(36a^{10}+156a^5+169\)
3. \(a^2-28a+196\)
4. \(9q^2-66q+121\)
5. \(p^2+22p+121\)
6. \(9y^2-25b^{6}\)
7. \(81-100q^{8}\)
8. \(16y^{6}-88y^3+121\)
9. \(16p^2-88p+121\)
10. \(36x^2-132x+121\)
11. \(y^2-9\)
12. \(169q^{10}-104q^5+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196p^{8}-252p^4y+81y^2=(14p^4-9y)^2\)
2. \(36a^{10}+156a^5+169=(6a^5+13)^2\)
3. \(a^2-28a+196=(a-14)^2\)
4. \(9q^2-66q+121=(3q-11)^2\)
5. \(p^2+22p+121=(p+11)^2\)
6. \(9y^2-25b^{6}=(3y-5b^3)(3y+5b^3)\)
7. \(81-100q^{8}=(9-10q^4)(9+10q^4)\)
8. \(16y^{6}-88y^3+121=(4y^3-11)^2\)
9. \(16p^2-88p+121=(4p-11)^2\)
10. \(36x^2-132x+121=(6x-11)^2\)
11. \(y^2-9=(y+3)(y-3)\)
12. \(169q^{10}-104q^5+16=(13q^5-4)^2\)