Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-1\)
2. \(9p^2-64a^{12}\)
3. \(49p^{6}-42p^3y+9y^2\)
4. \(256a^{8}+288a^4q+81q^2\)
5. \(144p^{12}-1\)
6. \(p^2-26p+169\)
7. \(a^2+14a+49\)
8. \(x^2-64\)
9. \(s^2-144\)
10. \(64y^2-80y+25\)
11. \(144a^{4}-49b^2\)
12. \(64-9b^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-1=(q+1)(q-1)\)
2. \(9p^2-64a^{12}=(3p-8a^6)(3p+8a^6)\)
3. \(49p^{6}-42p^3y+9y^2=(7p^3-3y)^2\)
4. \(256a^{8}+288a^4q+81q^2=(16a^4+9q)^2\)
5. \(144p^{12}-1=(12p^6+1)(12p^6-1)\)
6. \(p^2-26p+169=(p-13)^2\)
7. \(a^2+14a+49=(a+7)^2\)
8. \(x^2-64=(x+8)(x-8)\)
9. \(s^2-144=(s-12)(s+12)\)
10. \(64y^2-80y+25=(8y-5)^2\)
11. \(144a^{4}-49b^2=(12a^2+7b)(12a^2-7b)\)
12. \(64-9b^{14}=(8-3b^7)(8+3b^7)\)