Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-24y+144\)
2. \(169p^2+260p+100\)
3. \(256y^2-160y+25\)
4. \(169y^{10}-312y^5+144\)
5. \(p^2-144\)
6. \(121-64y^{14}\)
7. \(b^2+6b+9\)
8. \(36y^{10}+12y^5+1\)
9. \(49s^2-169\)
10. \(-121b^2+36\)
11. \(p^2-225\)
12. \(25s^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-24y+144=(y-12)^2\)
2. \(169p^2+260p+100=(13p+10)^2\)
3. \(256y^2-160y+25=(16y-5)^2\)
4. \(169y^{10}-312y^5+144=(13y^5-12)^2\)
5. \(p^2-144=(p+12)(p-12)\)
6. \(121-64y^{14}=(11-8y^7)(11+8y^7)\)
7. \(b^2+6b+9=(b+3)^2\)
8. \(36y^{10}+12y^5+1=(6y^5+1)^2\)
9. \(49s^2-169=(7s+13)(7s-13)\)
10. \(-121b^2+36=(6-11b)(6+11b)\)
11. \(p^2-225=(p-15)(p+15)\)
12. \(25s^2-64=(5s+8)(5s-8)\)