Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-36\)
2. \(196-9x^{4}\)
3. \(256a^{4}-81s^2\)
4. \(225p^{6}-420p^3+196\)
5. \(b^2-25\)
6. \(-169b^2+121\)
7. \(b^2-24b+144\)
8. \(256q^{6}+288q^3y+81y^2\)
9. \(121b^{8}-196s^2\)
10. \(25b^2+60b+36\)
11. \(p^2-64\)
12. \(169p^{4}-104p^2+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-36=(q-6)(q+6)\)
2. \(196-9x^{4}=(14-3x^2)(14+3x^2)\)
3. \(256a^{4}-81s^2=(16a^2+9s)(16a^2-9s)\)
4. \(225p^{6}-420p^3+196=(15p^3-14)^2\)
5. \(b^2-25=(b+5)(b-5)\)
6. \(-169b^2+121=(11-13b)(11+13b)\)
7. \(b^2-24b+144=(b-12)^2\)
8. \(256q^{6}+288q^3y+81y^2=(16q^3+9y)^2\)
9. \(121b^{8}-196s^2=(11b^4+14s)(11b^4-14s)\)
10. \(25b^2+60b+36=(5b+6)^2\)
11. \(p^2-64=(p+8)(p-8)\)
12. \(169p^{4}-104p^2+16=(13p^2-4)^2\)