Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-25\)
2. \(9q^2-66q+121\)
3. \(169p^2-9\)
4. \(-25y^2+196\)
5. \(49s^{4}-100\)
6. \(225-64p^{10}\)
7. \(36a^{12}-121y^2\)
8. \(-36s^2+25\)
9. \(q^2+28q+196\)
10. \(-144y^2+1\)
11. \(b^2+4b+4\)
12. \(9s^2-30s+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-25=(s+5)(s-5)\)
2. \(9q^2-66q+121=(3q-11)^2\)
3. \(169p^2-9=(13p+3)(13p-3)\)
4. \(-25y^2+196=(14-5y)(14+5y)\)
5. \(49s^{4}-100=(7s^2+10)(7s^2-10)\)
6. \(225-64p^{10}=(15-8p^5)(15+8p^5)\)
7. \(36a^{12}-121y^2=(6a^6+11y)(6a^6-11y)\)
8. \(-36s^2+25=(5-6s)(5+6s)\)
9. \(q^2+28q+196=(q+14)^2\)
10. \(-144y^2+1=(1-12y)(1+12y)\)
11. \(b^2+4b+4=(b+2)^2\)
12. \(9s^2-30s+25=(3s-5)^2\)