Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144s^{10}+264s^5y+121y^2\)
2. \(64q^{10}+112q^5x+49x^2\)
3. \(169s^{4}+26s^2y+1y^2\)
4. \(169-9p^{14}\)
5. \(121s^{4}-100\)
6. \(225y^{12}-196\)
7. \(49a^{6}-121\)
8. \(100q^{4}-121\)
9. \(36-169s^{14}\)
10. \(y^2-9\)
11. \(p^2-20p+100\)
12. \(x^2+22x+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144s^{10}+264s^5y+121y^2=(12s^5+11y)^2\)
2. \(64q^{10}+112q^5x+49x^2=(8q^5+7x)^2\)
3. \(169s^{4}+26s^2y+1y^2=(13s^2+y)^2\)
4. \(169-9p^{14}=(13-3p^7)(13+3p^7)\)
5. \(121s^{4}-100=(11s^2+10)(11s^2-10)\)
6. \(225y^{12}-196=(15y^6+14)(15y^6-14)\)
7. \(49a^{6}-121=(7a^3+11)(7a^3-11)\)
8. \(100q^{4}-121=(10q^2+11)(10q^2-11)\)
9. \(36-169s^{14}=(6-13s^7)(6+13s^7)\)
10. \(y^2-9=(y+3)(y-3)\)
11. \(p^2-20p+100=(p-10)^2\)
12. \(x^2+22x+121=(x+11)^2\)