Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169-9s^{12}\)
2. \(225p^2-196\)
3. \(p^2-24p+144\)
4. \(196p^{10}+252p^5+81\)
5. \(25b^2+140b+196\)
6. \(25a^{6}+130a^3+169\)
7. \(225a^{10}-330a^5p+121p^2\)
8. \(121b^2+132b+36\)
9. \(q^2-36\)
10. \(-256b^2+1\)
11. \(y^2-36\)
12. \(25x^2-144p^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169-9s^{12}=(13-3s^6)(13+3s^6)\)
2. \(225p^2-196=(15p+14)(15p-14)\)
3. \(p^2-24p+144=(p-12)^2\)
4. \(196p^{10}+252p^5+81=(14p^5+9)^2\)
5. \(25b^2+140b+196=(5b+14)^2\)
6. \(25a^{6}+130a^3+169=(5a^3+13)^2\)
7. \(225a^{10}-330a^5p+121p^2=(15a^5-11p)^2\)
8. \(121b^2+132b+36=(11b+6)^2\)
9. \(q^2-36=(q-6)(q+6)\)
10. \(-256b^2+1=(1-16b)(1+16b)\)
11. \(y^2-36=(y+6)(y-6)\)
12. \(25x^2-144p^{8}=(5x-12p^4)(5x+12p^4)\)