Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-26y+169\)
2. \(a^{8}-256y^2\)
3. \(x^2-6x+9\)
4. \(s^2-121\)
5. \(p^2-100\)
6. \(b^2-64\)
7. \(81b^2+18b+1\)
8. \(81b^{10}+126b^5p+49p^2\)
9. \(256b^2+416b+169\)
10. \(-121s^2+169\)
11. \(s^2-30s+225\)
12. \(225y^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-26y+169=(y-13)^2\)
2. \(a^{8}-256y^2=(a^4+16y)(a^4-16y)\)
3. \(x^2-6x+9=(x-3)^2\)
4. \(s^2-121=(s+11)(s-11)\)
5. \(p^2-100=(p+10)(p-10)\)
6. \(b^2-64=(b+8)(b-8)\)
7. \(81b^2+18b+1=(9b+1)^2\)
8. \(81b^{10}+126b^5p+49p^2=(9b^5+7p)^2\)
9. \(256b^2+416b+169=(16b+13)^2\)
10. \(-121s^2+169=(13-11s)(13+11s)\)
11. \(s^2-30s+225=(s-15)^2\)
12. \(225y^2-49=(15y+7)(15y-7)\)