Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-25\)
2. \(49y^2-1\)
3. \(196p^{10}+28p^5q+1q^2\)
4. \(9s^{10}+60s^5+100\)
5. \(121b^{14}-144\)
6. \(64-81q^{12}\)
7. \(q^2-26q+169\)
8. \(y^2-144\)
9. \(169s^2-1\)
10. \(196a^{4}+28a^2+1\)
11. \(s^2+10s+25\)
12. \(121-225s^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-25=(x+5)(x-5)\)
2. \(49y^2-1=(7y+1)(7y-1)\)
3. \(196p^{10}+28p^5q+1q^2=(14p^5+q)^2\)
4. \(9s^{10}+60s^5+100=(3s^5+10)^2\)
5. \(121b^{14}-144=(11b^7+12)(11b^7-12)\)
6. \(64-81q^{12}=(8-9q^6)(8+9q^6)\)
7. \(q^2-26q+169=(q-13)^2\)
8. \(y^2-144=(y+12)(y-12)\)
9. \(169s^2-1=(13s+1)(13s-1)\)
10. \(196a^{4}+28a^2+1=(14a^2+1)^2\)
11. \(s^2+10s+25=(s+5)^2\)
12. \(121-225s^{6}=(11-15s^3)(11+15s^3)\)