Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-8a+16\)
2. \(y^2-169\)
3. \(16a^{14}-81p^2\)
4. \(25s^2+40s+16\)
5. \(49s^{10}-140s^5+100\)
6. \(9b^{10}-48b^5+64\)
7. \(36y^2+12y+1\)
8. \(100y^{4}+20y^2+1\)
9. \(-16p^2+121\)
10. \(81q^{10}-198q^5y+121y^2\)
11. \(16x^{10}+24x^5+9\)
12. \(49-4a^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-8a+16=(a-4)^2\)
2. \(y^2-169=(y+13)(y-13)\)
3. \(16a^{14}-81p^2=(4a^7+9p)(4a^7-9p)\)
4. \(25s^2+40s+16=(5s+4)^2\)
5. \(49s^{10}-140s^5+100=(7s^5-10)^2\)
6. \(9b^{10}-48b^5+64=(3b^5-8)^2\)
7. \(36y^2+12y+1=(6y+1)^2\)
8. \(100y^{4}+20y^2+1=(10y^2+1)^2\)
9. \(-16p^2+121=(11-4p)(11+4p)\)
10. \(81q^{10}-198q^5y+121y^2=(9q^5-11y)^2\)
11. \(16x^{10}+24x^5+9=(4x^5+3)^2\)
12. \(49-4a^{10}=(7-2a^5)(7+2a^5)\)