Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^{4}-416p^2+256\)
2. \(25b^{6}+110b^3+121\)
3. \(196p^2+28p+1\)
4. \(9x^{10}+6x^5+1\)
5. \(y^2-9\)
6. \(121y^2-176y+64\)
7. \(121p^2-36b^{4}\)
8. \(49s^{6}-225y^2\)
9. \(100x^2-9\)
10. \(36p^2+132p+121\)
11. \(100x^{10}-60x^5+9\)
12. \(225x^2-60x+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^{4}-416p^2+256=(13p^2-16)^2\)
2. \(25b^{6}+110b^3+121=(5b^3+11)^2\)
3. \(196p^2+28p+1=(14p+1)^2\)
4. \(9x^{10}+6x^5+1=(3x^5+1)^2\)
5. \(y^2-9=(y+3)(y-3)\)
6. \(121y^2-176y+64=(11y-8)^2\)
7. \(121p^2-36b^{4}=(11p-6b^2)(11p+6b^2)\)
8. \(49s^{6}-225y^2=(7s^3+15y)(7s^3-15y)\)
9. \(100x^2-9=(10x+3)(10x-3)\)
10. \(36p^2+132p+121=(6p+11)^2\)
11. \(100x^{10}-60x^5+9=(10x^5-3)^2\)
12. \(225x^2-60x+4=(15x-2)^2\)