Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-8p+16\)
2. \(25q^{8}-140q^4+196\)
3. \(s^2+10s+25\)
4. \(196a^{10}+140a^5+25\)
5. \(144y^{4}-264y^2+121\)
6. \(36p^2-25\)
7. \(y^2-16\)
8. \(169b^{16}-196\)
9. \(49p^{6}+182p^3+169\)
10. \(25a^2+110a+121\)
11. \(144q^2-1\)
12. \(64q^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-8p+16=(p-4)^2\)
2. \(25q^{8}-140q^4+196=(5q^4-14)^2\)
3. \(s^2+10s+25=(s+5)^2\)
4. \(196a^{10}+140a^5+25=(14a^5+5)^2\)
5. \(144y^{4}-264y^2+121=(12y^2-11)^2\)
6. \(36p^2-25=(6p+5)(6p-5)\)
7. \(y^2-16=(y-4)(y+4)\)
8. \(169b^{16}-196=(13b^8+14)(13b^8-14)\)
9. \(49p^{6}+182p^3+169=(7p^3+13)^2\)
10. \(25a^2+110a+121=(5a+11)^2\)
11. \(144q^2-1=(12q+1)(12q-1)\)
12. \(64q^2-121=(8q+11)(8q-11)\)