Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2-225\)
2. \(9b^2+60b+100\)
3. \(9s^{4}-84s^2+196\)
4. \(121x^2+308x+196\)
5. \(225s^2-256p^{8}\)
6. \(9q^2-100b^{10}\)
7. \(100a^{8}+20a^4q+1q^2\)
8. \(p^2-169\)
9. \(p^2+24p+144\)
10. \(b^2-225\)
11. \(-256y^2+81\)
12. \(36a^{6}-132a^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2-225=(11x+15)(11x-15)\)
2. \(9b^2+60b+100=(3b+10)^2\)
3. \(9s^{4}-84s^2+196=(3s^2-14)^2\)
4. \(121x^2+308x+196=(11x+14)^2\)
5. \(225s^2-256p^{8}=(15s-16p^4)(15s+16p^4)\)
6. \(9q^2-100b^{10}=(3q-10b^5)(3q+10b^5)\)
7. \(100a^{8}+20a^4q+1q^2=(10a^4+q)^2\)
8. \(p^2-169=(p-13)(p+13)\)
9. \(p^2+24p+144=(p+12)^2\)
10. \(b^2-225=(b+15)(b-15)\)
11. \(-256y^2+81=(9-16y)(9+16y)\)
12. \(36a^{6}-132a^3+121=(6a^3-11)^2\)