Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4s^{4}+20s^2+25\)
2. \(196p^{6}+28p^3+1\)
3. \(256b^{10}+32b^5s+1s^2\)
4. \(16p^2+72p+81\)
5. \(x^2-144\)
6. \(64b^{10}+208b^5q+169q^2\)
7. \(121x^2+110x+25\)
8. \(225b^{16}-49\)
9. \(100s^{10}-180s^5y+81y^2\)
10. \(169s^{10}+156s^5+36\)
11. \(-25s^2+49\)
12. \(36p^{4}+12p^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4s^{4}+20s^2+25=(2s^2+5)^2\)
2. \(196p^{6}+28p^3+1=(14p^3+1)^2\)
3. \(256b^{10}+32b^5s+1s^2=(16b^5+s)^2\)
4. \(16p^2+72p+81=(4p+9)^2\)
5. \(x^2-144=(x+12)(x-12)\)
6. \(64b^{10}+208b^5q+169q^2=(8b^5+13q)^2\)
7. \(121x^2+110x+25=(11x+5)^2\)
8. \(225b^{16}-49=(15b^8+7)(15b^8-7)\)
9. \(100s^{10}-180s^5y+81y^2=(10s^5-9y)^2\)
10. \(169s^{10}+156s^5+36=(13s^5+6)^2\)
11. \(-25s^2+49=(7-5s)(7+5s)\)
12. \(36p^{4}+12p^2+1=(6p^2+1)^2\)