Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225y^2-196p^{10}\)
2. \(256x^2+96x+9\)
3. \(225y^2-330y+121\)
4. \(144s^{10}-264s^5+121\)
5. \(36b^{12}-121\)
6. \(16y^{10}-88y^5+121\)
7. \(121s^{8}-81\)
8. \(16a^{6}+72a^3s+81s^2\)
9. \(9x^{8}+66x^4y+121y^2\)
10. \(100q^2+20q+1\)
11. \(169a^{10}+234a^5b+81b^2\)
12. \(-36s^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225y^2-196p^{10}=(15y-14p^5)(15y+14p^5)\)
2. \(256x^2+96x+9=(16x+3)^2\)
3. \(225y^2-330y+121=(15y-11)^2\)
4. \(144s^{10}-264s^5+121=(12s^5-11)^2\)
5. \(36b^{12}-121=(6b^6+11)(6b^6-11)\)
6. \(16y^{10}-88y^5+121=(4y^5-11)^2\)
7. \(121s^{8}-81=(11s^4+9)(11s^4-9)\)
8. \(16a^{6}+72a^3s+81s^2=(4a^3+9s)^2\)
9. \(9x^{8}+66x^4y+121y^2=(3x^4+11y)^2\)
10. \(100q^2+20q+1=(10q+1)^2\)
11. \(169a^{10}+234a^5b+81b^2=(13a^5+9b)^2\)
12. \(-36s^2+121=(11-6s)(11+6s)\)