Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-81\)
2. \(225x^2-64b^{4}\)
3. \(-196y^2+1\)
4. \(36p^2-60p+25\)
5. \(s^2+10s+25\)
6. \(q^2-25\)
7. \(-169p^2+81\)
8. \(64a^{10}-80a^5+25\)
9. \(p^2-1\)
10. \(196p^{10}-81s^2\)
11. \(121p^2+154p+49\)
12. \(25a^{10}-20a^5+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-81=(q-9)(q+9)\)
2. \(225x^2-64b^{4}=(15x-8b^2)(15x+8b^2)\)
3. \(-196y^2+1=(1-14y)(1+14y)\)
4. \(36p^2-60p+25=(6p-5)^2\)
5. \(s^2+10s+25=(s+5)^2\)
6. \(q^2-25=(q-5)(q+5)\)
7. \(-169p^2+81=(9-13p)(9+13p)\)
8. \(64a^{10}-80a^5+25=(8a^5-5)^2\)
9. \(p^2-1=(p+1)(p-1)\)
10. \(196p^{10}-81s^2=(14p^5+9s)(14p^5-9s)\)
11. \(121p^2+154p+49=(11p+7)^2\)
12. \(25a^{10}-20a^5+4=(5a^5-2)^2\)