Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49a^2-4\)
2. \(225x^{4}-169\)
3. \(121a^{10}-220a^5+100\)
4. \(100y^2+180y+81\)
5. \(49p^{6}+154p^3+121\)
6. \(121-64p^{6}\)
7. \(x^2-1\)
8. \(225s^2+390s+169\)
9. \(81a^{4}-100\)
10. \(4x^{4}+52x^2+169\)
11. \(25s^{8}+110s^4+121\)
12. \(s^2-20s+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49a^2-4=(7a+2)(7a-2)\)
2. \(225x^{4}-169=(15x^2+13)(15x^2-13)\)
3. \(121a^{10}-220a^5+100=(11a^5-10)^2\)
4. \(100y^2+180y+81=(10y+9)^2\)
5. \(49p^{6}+154p^3+121=(7p^3+11)^2\)
6. \(121-64p^{6}=(11-8p^3)(11+8p^3)\)
7. \(x^2-1=(x+1)(x-1)\)
8. \(225s^2+390s+169=(15s+13)^2\)
9. \(81a^{4}-100=(9a^2+10)(9a^2-10)\)
10. \(4x^{4}+52x^2+169=(2x^2+13)^2\)
11. \(25s^{8}+110s^4+121=(5s^4+11)^2\)
12. \(s^2-20s+100=(s-10)^2\)