Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196s^{6}-81\)
2. \(256a^{10}+160a^5+25\)
3. \(q^2+4q+4\)
4. \(-9y^2+1\)
5. \(9a^2-84a+196\)
6. \(25b^{4}-40b^2s+16s^2\)
7. \(-64y^2+49\)
8. \(81a^{6}+18a^3+1\)
9. \(x^2-4x+4\)
10. \(s^2-9\)
11. \(q^2+26q+169\)
12. \(256q^{14}-121s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196s^{6}-81=(14s^3+9)(14s^3-9)\)
2. \(256a^{10}+160a^5+25=(16a^5+5)^2\)
3. \(q^2+4q+4=(q+2)^2\)
4. \(-9y^2+1=(1-3y)(1+3y)\)
5. \(9a^2-84a+196=(3a-14)^2\)
6. \(25b^{4}-40b^2s+16s^2=(5b^2-4s)^2\)
7. \(-64y^2+49=(7-8y)(7+8y)\)
8. \(81a^{6}+18a^3+1=(9a^3+1)^2\)
9. \(x^2-4x+4=(x-2)^2\)
10. \(s^2-9=(s+3)(s-3)\)
11. \(q^2+26q+169=(q+13)^2\)
12. \(256q^{14}-121s^2=(16q^7+11s)(16q^7-11s)\)