Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-16q+64\)
2. \(256y^{6}-160y^3+25\)
3. \(81q^{8}-4s^2\)
4. \(36a^{8}+60a^4+25\)
5. \(4s^{6}+12s^3+9\)
6. \(225b^{4}-210b^2+49\)
7. \(q^2-8q+16\)
8. \(p^2-49\)
9. \(1-25b^{4}\)
10. \(b^2+8b+16\)
11. \(81a^{8}-234a^4+169\)
12. \(9y^2-a^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-16q+64=(q-8)^2\)
2. \(256y^{6}-160y^3+25=(16y^3-5)^2\)
3. \(81q^{8}-4s^2=(9q^4+2s)(9q^4-2s)\)
4. \(36a^{8}+60a^4+25=(6a^4+5)^2\)
5. \(4s^{6}+12s^3+9=(2s^3+3)^2\)
6. \(225b^{4}-210b^2+49=(15b^2-7)^2\)
7. \(q^2-8q+16=(q-4)^2\)
8. \(p^2-49=(p+7)(p-7)\)
9. \(1-25b^{4}=(1-5b^2)(1+5b^2)\)
10. \(b^2+8b+16=(b+4)^2\)
11. \(81a^{8}-234a^4+169=(9a^4-13)^2\)
12. \(9y^2-a^{10}=(3y-a^5)(3y+a^5)\)