Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64b^{10}+144b^5+81\)
2. \(p^2+28p+196\)
3. \(16-169y^{6}\)
4. \(p^2-4\)
5. \(9y^2+78y+169\)
6. \(121x^{4}+264x^2+144\)
7. \(225b^{4}-210b^2+49\)
8. \(225b^2-49\)
9. \(64b^2-169\)
10. \(25x^2-64\)
11. \(s^2+22s+121\)
12. \(x^2-18x+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64b^{10}+144b^5+81=(8b^5+9)^2\)
2. \(p^2+28p+196=(p+14)^2\)
3. \(16-169y^{6}=(4-13y^3)(4+13y^3)\)
4. \(p^2-4=(p+2)(p-2)\)
5. \(9y^2+78y+169=(3y+13)^2\)
6. \(121x^{4}+264x^2+144=(11x^2+12)^2\)
7. \(225b^{4}-210b^2+49=(15b^2-7)^2\)
8. \(225b^2-49=(15b+7)(15b-7)\)
9. \(64b^2-169=(8b+13)(8b-13)\)
10. \(25x^2-64=(5x+8)(5x-8)\)
11. \(s^2+22s+121=(s+11)^2\)
12. \(x^2-18x+81=(x-9)^2\)