Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-81\)
2. \(16p^2+72p+81\)
3. \(121p^2-169\)
4. \(9q^2-64a^{4}\)
5. \(144b^{4}+168b^2p+49p^2\)
6. \(121a^{10}+22a^5q+1q^2\)
7. \(81p^{4}-234p^2+169\)
8. \(s^2-8s+16\)
9. \(64y^{14}-1\)
10. \(196a^{6}-169q^2\)
11. \(100p^{4}+140p^2x+49x^2\)
12. \(256q^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-81=(s+9)(s-9)\)
2. \(16p^2+72p+81=(4p+9)^2\)
3. \(121p^2-169=(11p+13)(11p-13)\)
4. \(9q^2-64a^{4}=(3q-8a^2)(3q+8a^2)\)
5. \(144b^{4}+168b^2p+49p^2=(12b^2+7p)^2\)
6. \(121a^{10}+22a^5q+1q^2=(11a^5+q)^2\)
7. \(81p^{4}-234p^2+169=(9p^2-13)^2\)
8. \(s^2-8s+16=(s-4)^2\)
9. \(64y^{14}-1=(8y^7+1)(8y^7-1)\)
10. \(196a^{6}-169q^2=(14a^3+13q)(14a^3-13q)\)
11. \(100p^{4}+140p^2x+49x^2=(10p^2+7x)^2\)
12. \(256q^2-81=(16q+9)(16q-9)\)