Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81s^2-16\)
2. \(81b^{6}-72b^3+16\)
3. \(25y^2-144\)
4. \(81q^2-64p^{6}\)
5. \(25b^2-20b+4\)
6. \(196b^2-81\)
7. \(16p^{6}-225\)
8. \(36y^2-132y+121\)
9. \(169s^2-196\)
10. \(196b^{14}-81p^2\)
11. \(144x^{4}-264x^2+121\)
12. \(49b^{10}-224b^5s+256s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81s^2-16=(9s+4)(9s-4)\)
2. \(81b^{6}-72b^3+16=(9b^3-4)^2\)
3. \(25y^2-144=(5y+12)(5y-12)\)
4. \(81q^2-64p^{6}=(9q-8p^3)(9q+8p^3)\)
5. \(25b^2-20b+4=(5b-2)^2\)
6. \(196b^2-81=(14b+9)(14b-9)\)
7. \(16p^{6}-225=(4p^3+15)(4p^3-15)\)
8. \(36y^2-132y+121=(6y-11)^2\)
9. \(169s^2-196=(13s+14)(13s-14)\)
10. \(196b^{14}-81p^2=(14b^7+9p)(14b^7-9p)\)
11. \(144x^{4}-264x^2+121=(12x^2-11)^2\)
12. \(49b^{10}-224b^5s+256s^2=(7b^5-16s)^2\)