Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121p^2-100\)
2. \(-36b^2+1\)
3. \(p^2-64\)
4. \(196x^{6}+84x^3+9\)
5. \(64b^2-80b+25\)
6. \(25a^2-90a+81\)
7. \(q^2-1\)
8. \(4b^2+4b+1\)
9. \(1-100a^{10}\)
10. \(-196s^2+9\)
11. \(s^2-225\)
12. \(s^2-22s+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121p^2-100=(11p+10)(11p-10)\)
2. \(-36b^2+1=(1-6b)(1+6b)\)
3. \(p^2-64=(p-8)(p+8)\)
4. \(196x^{6}+84x^3+9=(14x^3+3)^2\)
5. \(64b^2-80b+25=(8b-5)^2\)
6. \(25a^2-90a+81=(5a-9)^2\)
7. \(q^2-1=(q+1)(q-1)\)
8. \(4b^2+4b+1=(2b+1)^2\)
9. \(1-100a^{10}=(1-10a^5)(1+10a^5)\)
10. \(-196s^2+9=(3-14s)(3+14s)\)
11. \(s^2-225=(s-15)(s+15)\)
12. \(s^2-22s+121=(s-11)^2\)