Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36a^{10}-25b^2\)
2. \(4b^2+20b+25\)
3. \(169y^{6}-36\)
4. \(121a^{4}-286a^2x+169x^2\)
5. \(144p^{6}-264p^3+121\)
6. \(y^2-100\)
7. \(25q^{6}-40q^3+16\)
8. \(256s^{10}-288s^5x+81x^2\)
9. \(144y^2-169\)
10. \(-100q^2+81\)
11. \(100b^{6}-60b^3+9\)
12. \(36s^{6}+132s^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36a^{10}-25b^2=(6a^5+5b)(6a^5-5b)\)
2. \(4b^2+20b+25=(2b+5)^2\)
3. \(169y^{6}-36=(13y^3+6)(13y^3-6)\)
4. \(121a^{4}-286a^2x+169x^2=(11a^2-13x)^2\)
5. \(144p^{6}-264p^3+121=(12p^3-11)^2\)
6. \(y^2-100=(y+10)(y-10)\)
7. \(25q^{6}-40q^3+16=(5q^3-4)^2\)
8. \(256s^{10}-288s^5x+81x^2=(16s^5-9x)^2\)
9. \(144y^2-169=(12y+13)(12y-13)\)
10. \(-100q^2+81=(9-10q)(9+10q)\)
11. \(100b^{6}-60b^3+9=(10b^3-3)^2\)
12. \(36s^{6}+132s^3+121=(6s^3+11)^2\)