Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144a^{6}+264a^3+121\)
2. \(225q^2+30q+1\)
3. \(225x^2+210x+49\)
4. \(25p^{4}+110p^2y+121y^2\)
5. \(-9y^2+49\)
6. \(x^2-64\)
7. \(196q^{4}+84q^2+9\)
8. \(q^2+24q+144\)
9. \(36a^2+12a+1\)
10. \(225p^{10}+420p^5+196\)
11. \(64s^{4}-121\)
12. \(b^2-4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144a^{6}+264a^3+121=(12a^3+11)^2\)
2. \(225q^2+30q+1=(15q+1)^2\)
3. \(225x^2+210x+49=(15x+7)^2\)
4. \(25p^{4}+110p^2y+121y^2=(5p^2+11y)^2\)
5. \(-9y^2+49=(7-3y)(7+3y)\)
6. \(x^2-64=(x+8)(x-8)\)
7. \(196q^{4}+84q^2+9=(14q^2+3)^2\)
8. \(q^2+24q+144=(q+12)^2\)
9. \(36a^2+12a+1=(6a+1)^2\)
10. \(225p^{10}+420p^5+196=(15p^5+14)^2\)
11. \(64s^{4}-121=(8s^2+11)(8s^2-11)\)
12. \(b^2-4=(b+2)(b-2)\)