Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2-25p^{6}\)
2. \(64p^{6}-25y^2\)
3. \(49s^{8}-182s^4x+169x^2\)
4. \(49b^{10}-16x^2\)
5. \(81b^{6}-234b^3y+169y^2\)
6. \(144b^{4}-264b^2p+121p^2\)
7. \(144q^{8}+264q^4s+121s^2\)
8. \(225x^2-60x+4\)
9. \(144q^2-121\)
10. \(a^2+20a+100\)
11. \(a^2-121\)
12. \(256p^{8}+480p^4y+225y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2-25p^{6}=(11x-5p^3)(11x+5p^3)\)
2. \(64p^{6}-25y^2=(8p^3+5y)(8p^3-5y)\)
3. \(49s^{8}-182s^4x+169x^2=(7s^4-13x)^2\)
4. \(49b^{10}-16x^2=(7b^5+4x)(7b^5-4x)\)
5. \(81b^{6}-234b^3y+169y^2=(9b^3-13y)^2\)
6. \(144b^{4}-264b^2p+121p^2=(12b^2-11p)^2\)
7. \(144q^{8}+264q^4s+121s^2=(12q^4+11s)^2\)
8. \(225x^2-60x+4=(15x-2)^2\)
9. \(144q^2-121=(12q+11)(12q-11)\)
10. \(a^2+20a+100=(a+10)^2\)
11. \(a^2-121=(a-11)(a+11)\)
12. \(256p^{8}+480p^4y+225y^2=(16p^4+15y)^2\)