Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^{10}+12q^5s+1s^2\)
2. \(-196p^2+81\)
3. \(s^2-22s+121\)
4. \(64p^{10}-208p^5+169\)
5. \(16a^{4}+72a^2+81\)
6. \(9b^2-66b+121\)
7. \(81-169x^{16}\)
8. \(144s^{4}-168s^2+49\)
9. \(q^2-26q+169\)
10. \(y^2+14y+49\)
11. \(121x^2-81\)
12. \(b^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^{10}+12q^5s+1s^2=(6q^5+s)^2\)
2. \(-196p^2+81=(9-14p)(9+14p)\)
3. \(s^2-22s+121=(s-11)^2\)
4. \(64p^{10}-208p^5+169=(8p^5-13)^2\)
5. \(16a^{4}+72a^2+81=(4a^2+9)^2\)
6. \(9b^2-66b+121=(3b-11)^2\)
7. \(81-169x^{16}=(9-13x^8)(9+13x^8)\)
8. \(144s^{4}-168s^2+49=(12s^2-7)^2\)
9. \(q^2-26q+169=(q-13)^2\)
10. \(y^2+14y+49=(y+7)^2\)
11. \(121x^2-81=(11x+9)(11x-9)\)
12. \(b^2-64=(b+8)(b-8)\)