Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-9\)
2. \(81q^{8}-36q^4s+4s^2\)
3. \(64-9b^{8}\)
4. \(p^2+10p+25\)
5. \(25b^2-169a^{6}\)
6. \(-4y^2+9\)
7. \(121-256y^{14}\)
8. \(121b^2+110b+25\)
9. \(225b^2-49\)
10. \(169p^{12}-49y^2\)
11. \(25x^{4}-196\)
12. \(16q^{6}+72q^3+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-9=(q-3)(q+3)\)
2. \(81q^{8}-36q^4s+4s^2=(9q^4-2s)^2\)
3. \(64-9b^{8}=(8-3b^4)(8+3b^4)\)
4. \(p^2+10p+25=(p+5)^2\)
5. \(25b^2-169a^{6}=(5b-13a^3)(5b+13a^3)\)
6. \(-4y^2+9=(3-2y)(3+2y)\)
7. \(121-256y^{14}=(11-16y^7)(11+16y^7)\)
8. \(121b^2+110b+25=(11b+5)^2\)
9. \(225b^2-49=(15b+7)(15b-7)\)
10. \(169p^{12}-49y^2=(13p^6+7y)(13p^6-7y)\)
11. \(25x^{4}-196=(5x^2+14)(5x^2-14)\)
12. \(16q^{6}+72q^3+81=(4q^3+9)^2\)