Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-25\)
2. \(225a^{10}-49q^2\)
3. \(y^2-16\)
4. \(y^2-2y+1\)
5. \(-9s^2+49\)
6. \(196x^2+28x+1\)
7. \(b^2+14b+49\)
8. \(25b^2-140b+196\)
9. \(25q^2+10q+1\)
10. \(144p^{10}+264p^5y+121y^2\)
11. \(-256s^2+121\)
12. \(144a^2+168a+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-25=(y-5)(y+5)\)
2. \(225a^{10}-49q^2=(15a^5+7q)(15a^5-7q)\)
3. \(y^2-16=(y+4)(y-4)\)
4. \(y^2-2y+1=(y-1)^2\)
5. \(-9s^2+49=(7-3s)(7+3s)\)
6. \(196x^2+28x+1=(14x+1)^2\)
7. \(b^2+14b+49=(b+7)^2\)
8. \(25b^2-140b+196=(5b-14)^2\)
9. \(25q^2+10q+1=(5q+1)^2\)
10. \(144p^{10}+264p^5y+121y^2=(12p^5+11y)^2\)
11. \(-256s^2+121=(11-16s)(11+16s)\)
12. \(144a^2+168a+49=(12a+7)^2\)