Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^2+144a+81\)
2. \(36a^2-60a+25\)
3. \(4y^{10}+4y^5+1\)
4. \(169y^2+26y+1\)
5. \(9-4y^{4}\)
6. \(49s^2-16q^{8}\)
7. \(196p^{4}-121\)
8. \(36s^{4}+60s^2x+25x^2\)
9. \(81y^{10}+126y^5+49\)
10. \(36p^{8}-25\)
11. \(p^2-49\)
12. \(q^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^2+144a+81=(8a+9)^2\)
2. \(36a^2-60a+25=(6a-5)^2\)
3. \(4y^{10}+4y^5+1=(2y^5+1)^2\)
4. \(169y^2+26y+1=(13y+1)^2\)
5. \(9-4y^{4}=(3-2y^2)(3+2y^2)\)
6. \(49s^2-16q^{8}=(7s-4q^4)(7s+4q^4)\)
7. \(196p^{4}-121=(14p^2+11)(14p^2-11)\)
8. \(36s^{4}+60s^2x+25x^2=(6s^2+5x)^2\)
9. \(81y^{10}+126y^5+49=(9y^5+7)^2\)
10. \(36p^{8}-25=(6p^4+5)(6p^4-5)\)
11. \(p^2-49=(p+7)(p-7)\)
12. \(q^2-9=(q+3)(q-3)\)