Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-121\)
2. \(81q^{4}-234q^2x+169x^2\)
3. \(-100s^2+9\)
4. \(121x^2-154x+49\)
5. \(196a^2+420a+225\)
6. \(16a^{10}-24a^5+9\)
7. \(144s^2+120s+25\)
8. \(16a^{4}+56a^2q+49q^2\)
9. \(x^2-144\)
10. \(x^2-20x+100\)
11. \(144s^{4}+264s^2x+121x^2\)
12. \(9q^2-49a^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-121=(s+11)(s-11)\)
2. \(81q^{4}-234q^2x+169x^2=(9q^2-13x)^2\)
3. \(-100s^2+9=(3-10s)(3+10s)\)
4. \(121x^2-154x+49=(11x-7)^2\)
5. \(196a^2+420a+225=(14a+15)^2\)
6. \(16a^{10}-24a^5+9=(4a^5-3)^2\)
7. \(144s^2+120s+25=(12s+5)^2\)
8. \(16a^{4}+56a^2q+49q^2=(4a^2+7q)^2\)
9. \(x^2-144=(x+12)(x-12)\)
10. \(x^2-20x+100=(x-10)^2\)
11. \(144s^{4}+264s^2x+121x^2=(12s^2+11x)^2\)
12. \(9q^2-49a^{14}=(3q-7a^7)(3q+7a^7)\)