Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9x^{10}+12x^5+4\)
2. \(36p^{6}-60p^3q+25q^2\)
3. \(121x^2+330x+225\)
4. \(-225b^2+16\)
5. \(121s^{8}+286s^4x+169x^2\)
6. \(4p^{8}+36p^4s+81s^2\)
7. \(p^2-121\)
8. \(-25q^2+121\)
9. \(9a^{12}-196p^2\)
10. \(144s^{6}-264s^3x+121x^2\)
11. \(9b^2-12b+4\)
12. \(9s^{8}+6s^4+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9x^{10}+12x^5+4=(3x^5+2)^2\)
2. \(36p^{6}-60p^3q+25q^2=(6p^3-5q)^2\)
3. \(121x^2+330x+225=(11x+15)^2\)
4. \(-225b^2+16=(4-15b)(4+15b)\)
5. \(121s^{8}+286s^4x+169x^2=(11s^4+13x)^2\)
6. \(4p^{8}+36p^4s+81s^2=(2p^4+9s)^2\)
7. \(p^2-121=(p+11)(p-11)\)
8. \(-25q^2+121=(11-5q)(11+5q)\)
9. \(9a^{12}-196p^2=(3a^6+14p)(3a^6-14p)\)
10. \(144s^{6}-264s^3x+121x^2=(12s^3-11x)^2\)
11. \(9b^2-12b+4=(3b-2)^2\)
12. \(9s^{8}+6s^4+1=(3s^4+1)^2\)