Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^{6}-140b^3+196\)
2. \(81p^{12}-100\)
3. \(49q^{6}+14q^3+1\)
4. \(x^2+14x+49\)
5. \(y^2+4y+4\)
6. \(36q^2-60q+25\)
7. \(q^2-18q+81\)
8. \(81s^{10}-234s^5+169\)
9. \(q^2-121\)
10. \(169x^{4}+260x^2+100\)
11. \(100-169s^{4}\)
12. \(p^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^{6}-140b^3+196=(5b^3-14)^2\)
2. \(81p^{12}-100=(9p^6+10)(9p^6-10)\)
3. \(49q^{6}+14q^3+1=(7q^3+1)^2\)
4. \(x^2+14x+49=(x+7)^2\)
5. \(y^2+4y+4=(y+2)^2\)
6. \(36q^2-60q+25=(6q-5)^2\)
7. \(q^2-18q+81=(q-9)^2\)
8. \(81s^{10}-234s^5+169=(9s^5-13)^2\)
9. \(q^2-121=(q-11)(q+11)\)
10. \(169x^{4}+260x^2+100=(13x^2+10)^2\)
11. \(100-169s^{4}=(10-13s^2)(10+13s^2)\)
12. \(p^2-49=(p+7)(p-7)\)