Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-26y+169\)
2. \(b^2-2b+1\)
3. \(100s^{4}-260s^2+169\)
4. \(y^2+26y+169\)
5. \(169q^2+26q+1\)
6. \(81-256q^{10}\)
7. \(16s^{12}-49\)
8. \(9b^2-49\)
9. \(256b^{10}-480b^5y+225y^2\)
10. \(100s^{4}-180s^2+81\)
11. \(144q^{6}-49\)
12. \(b^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-26y+169=(y-13)^2\)
2. \(b^2-2b+1=(b-1)^2\)
3. \(100s^{4}-260s^2+169=(10s^2-13)^2\)
4. \(y^2+26y+169=(y+13)^2\)
5. \(169q^2+26q+1=(13q+1)^2\)
6. \(81-256q^{10}=(9-16q^5)(9+16q^5)\)
7. \(16s^{12}-49=(4s^6+7)(4s^6-7)\)
8. \(9b^2-49=(3b+7)(3b-7)\)
9. \(256b^{10}-480b^5y+225y^2=(16b^5-15y)^2\)
10. \(100s^{4}-180s^2+81=(10s^2-9)^2\)
11. \(144q^{6}-49=(12q^3+7)(12q^3-7)\)
12. \(b^2-144=(b+12)(b-12)\)