Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-25\)
2. \(q^2-9\)
3. \(49a^{14}-1\)
4. \(81s^2-196a^{8}\)
5. \(36x^{8}-132x^4y+121y^2\)
6. \(a^2-36\)
7. \(256a^2-1\)
8. \(169x^2-156x+36\)
9. \(a^2+24a+144\)
10. \(121-25y^{10}\)
11. \(121p^{12}-64q^2\)
12. \(25b^{8}-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-25=(s-5)(s+5)\)
2. \(q^2-9=(q-3)(q+3)\)
3. \(49a^{14}-1=(7a^7+1)(7a^7-1)\)
4. \(81s^2-196a^{8}=(9s-14a^4)(9s+14a^4)\)
5. \(36x^{8}-132x^4y+121y^2=(6x^4-11y)^2\)
6. \(a^2-36=(a+6)(a-6)\)
7. \(256a^2-1=(16a+1)(16a-1)\)
8. \(169x^2-156x+36=(13x-6)^2\)
9. \(a^2+24a+144=(a+12)^2\)
10. \(121-25y^{10}=(11-5y^5)(11+5y^5)\)
11. \(121p^{12}-64q^2=(11p^6+8q)(11p^6-8q)\)
12. \(25b^{8}-16=(5b^4+4)(5b^4-4)\)