Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+28q+196\)
2. \(169y^2-156y+36\)
3. \(121s^2-44s+4\)
4. \(144y^2+24y+1\)
5. \(x^2-10x+25\)
6. \(196a^{16}-9\)
7. \(256y^2-480y+225\)
8. \(144p^{10}-264p^5x+121x^2\)
9. \(b^2-100\)
10. \(225s^{10}-49y^2\)
11. \(q^2+10q+25\)
12. \(q^2+6q+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+28q+196=(q+14)^2\)
2. \(169y^2-156y+36=(13y-6)^2\)
3. \(121s^2-44s+4=(11s-2)^2\)
4. \(144y^2+24y+1=(12y+1)^2\)
5. \(x^2-10x+25=(x-5)^2\)
6. \(196a^{16}-9=(14a^8+3)(14a^8-3)\)
7. \(256y^2-480y+225=(16y-15)^2\)
8. \(144p^{10}-264p^5x+121x^2=(12p^5-11x)^2\)
9. \(b^2-100=(b+10)(b-10)\)
10. \(225s^{10}-49y^2=(15s^5+7y)(15s^5-7y)\)
11. \(q^2+10q+25=(q+5)^2\)
12. \(q^2+6q+9=(q+3)^2\)