Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2+20b+100\)
2. \(144s^2+264s+121\)
3. \(16q^2+24q+9\)
4. \(-225b^2+1\)
5. \(81s^{4}-234s^2x+169x^2\)
6. \(-121s^2+196\)
7. \(49b^2-42b+9\)
8. \(q^2-12q+36\)
9. \(196s^{6}-252s^3+81\)
10. \(s^2+10s+25\)
11. \(16b^{8}-56b^4s+49s^2\)
12. \(1-225x^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2+20b+100=(b+10)^2\)
2. \(144s^2+264s+121=(12s+11)^2\)
3. \(16q^2+24q+9=(4q+3)^2\)
4. \(-225b^2+1=(1-15b)(1+15b)\)
5. \(81s^{4}-234s^2x+169x^2=(9s^2-13x)^2\)
6. \(-121s^2+196=(14-11s)(14+11s)\)
7. \(49b^2-42b+9=(7b-3)^2\)
8. \(q^2-12q+36=(q-6)^2\)
9. \(196s^{6}-252s^3+81=(14s^3-9)^2\)
10. \(s^2+10s+25=(s+5)^2\)
11. \(16b^{8}-56b^4s+49s^2=(4b^4-7s)^2\)
12. \(1-225x^{10}=(1-15x^5)(1+15x^5)\)