Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144s^2-121\)
2. \(q^2-225\)
3. \(s^2-2s+1\)
4. \(144y^{8}-264y^4+121\)
5. \(49p^2-225\)
6. \(81y^2+36y+4\)
7. \(144y^{14}-169\)
8. \(p^2-64\)
9. \(144q^2-1\)
10. \(169p^{6}+104p^3s+16s^2\)
11. \(196x^{12}-81\)
12. \(81b^{6}+18b^3q+1q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144s^2-121=(12s+11)(12s-11)\)
2. \(q^2-225=(q+15)(q-15)\)
3. \(s^2-2s+1=(s-1)^2\)
4. \(144y^{8}-264y^4+121=(12y^4-11)^2\)
5. \(49p^2-225=(7p+15)(7p-15)\)
6. \(81y^2+36y+4=(9y+2)^2\)
7. \(144y^{14}-169=(12y^7+13)(12y^7-13)\)
8. \(p^2-64=(p+8)(p-8)\)
9. \(144q^2-1=(12q+1)(12q-1)\)
10. \(169p^{6}+104p^3s+16s^2=(13p^3+4s)^2\)
11. \(196x^{12}-81=(14x^6+9)(14x^6-9)\)
12. \(81b^{6}+18b^3q+1q^2=(9b^3+q)^2\)