Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-4\)
2. \(36a^{8}+12a^4y+1y^2\)
3. \(16b^2-225\)
4. \(169b^2-81\)
5. \(4s^2+4s+1\)
6. \(y^2-144\)
7. \(y^2+6y+9\)
8. \(s^2-169\)
9. \(169s^2-a^{10}\)
10. \(121a^2+176a+64\)
11. \(s^2-225\)
12. \(169s^{14}-196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-4=(p+2)(p-2)\)
2. \(36a^{8}+12a^4y+1y^2=(6a^4+y)^2\)
3. \(16b^2-225=(4b+15)(4b-15)\)
4. \(169b^2-81=(13b+9)(13b-9)\)
5. \(4s^2+4s+1=(2s+1)^2\)
6. \(y^2-144=(y-12)(y+12)\)
7. \(y^2+6y+9=(y+3)^2\)
8. \(s^2-169=(s-13)(s+13)\)
9. \(169s^2-a^{10}=(13s-a^5)(13s+a^5)\)
10. \(121a^2+176a+64=(11a+8)^2\)
11. \(s^2-225=(s-15)(s+15)\)
12. \(169s^{14}-196=(13s^7+14)(13s^7-14)\)