Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-121\)
2. \(16a^{4}-1\)
3. \(169x^{10}-312x^5+144\)
4. \(q^2-36\)
5. \(121s^2-16b^{8}\)
6. \(a^2-25\)
7. \(144p^{8}+24p^4+1\)
8. \(196s^2-25q^{10}\)
9. \(36-49p^{8}\)
10. \(b^2+2b+1\)
11. \(-81q^2+196\)
12. \(225a^{4}-121y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-121=(b-11)(b+11)\)
2. \(16a^{4}-1=(4a^2+1)(4a^2-1)\)
3. \(169x^{10}-312x^5+144=(13x^5-12)^2\)
4. \(q^2-36=(q-6)(q+6)\)
5. \(121s^2-16b^{8}=(11s-4b^4)(11s+4b^4)\)
6. \(a^2-25=(a+5)(a-5)\)
7. \(144p^{8}+24p^4+1=(12p^4+1)^2\)
8. \(196s^2-25q^{10}=(14s-5q^5)(14s+5q^5)\)
9. \(36-49p^{8}=(6-7p^4)(6+7p^4)\)
10. \(b^2+2b+1=(b+1)^2\)
11. \(-81q^2+196=(14-9q)(14+9q)\)
12. \(225a^{4}-121y^2=(15a^2+11y)(15a^2-11y)\)