Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-28s+196\)
2. \(16y^2+56y+49\)
3. \(25x^2-90x+81\)
4. \(4b^{10}+4b^5+1\)
5. \(36a^{10}+84a^5b+49b^2\)
6. \(225p^2-121a^{6}\)
7. \(36s^{4}-49\)
8. \(q^2-2q+1\)
9. \(49a^{10}-84a^5q+36q^2\)
10. \(100y^{10}+60y^5+9\)
11. \(9y^2-84y+196\)
12. \(q^2-14q+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-28s+196=(s-14)^2\)
2. \(16y^2+56y+49=(4y+7)^2\)
3. \(25x^2-90x+81=(5x-9)^2\)
4. \(4b^{10}+4b^5+1=(2b^5+1)^2\)
5. \(36a^{10}+84a^5b+49b^2=(6a^5+7b)^2\)
6. \(225p^2-121a^{6}=(15p-11a^3)(15p+11a^3)\)
7. \(36s^{4}-49=(6s^2+7)(6s^2-7)\)
8. \(q^2-2q+1=(q-1)^2\)
9. \(49a^{10}-84a^5q+36q^2=(7a^5-6q)^2\)
10. \(100y^{10}+60y^5+9=(10y^5+3)^2\)
11. \(9y^2-84y+196=(3y-14)^2\)
12. \(q^2-14q+49=(q-7)^2\)