Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4b^{4}+12b^2p+9p^2\)
2. \(25-121b^{6}\)
3. \(144s^2-264s+121\)
4. \(-121a^2+81\)
5. \(16s^2-225p^{4}\)
6. \(144x^{8}+24x^4y+1y^2\)
7. \(121p^2-144b^{4}\)
8. \(36x^2-1\)
9. \(100b^2-1\)
10. \(169p^{4}-130p^2s+25s^2\)
11. \(64a^{6}-169b^2\)
12. \(16s^{6}+40s^3x+25x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4b^{4}+12b^2p+9p^2=(2b^2+3p)^2\)
2. \(25-121b^{6}=(5-11b^3)(5+11b^3)\)
3. \(144s^2-264s+121=(12s-11)^2\)
4. \(-121a^2+81=(9-11a)(9+11a)\)
5. \(16s^2-225p^{4}=(4s-15p^2)(4s+15p^2)\)
6. \(144x^{8}+24x^4y+1y^2=(12x^4+y)^2\)
7. \(121p^2-144b^{4}=(11p-12b^2)(11p+12b^2)\)
8. \(36x^2-1=(6x+1)(6x-1)\)
9. \(100b^2-1=(10b+1)(10b-1)\)
10. \(169p^{4}-130p^2s+25s^2=(13p^2-5s)^2\)
11. \(64a^{6}-169b^2=(8a^3+13b)(8a^3-13b)\)
12. \(16s^{6}+40s^3x+25x^2=(4s^3+5x)^2\)