Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49b^{8}-224b^4p+256p^2\)
2. \(81s^2-256q^{10}\)
3. \(121q^2+198q+81\)
4. \(196p^{6}+252p^3+81\)
5. \(p^2-121\)
6. \(4a^{8}+36a^4x+81x^2\)
7. \(144q^{4}+120q^2+25\)
8. \(169b^{6}+156b^3y+36y^2\)
9. \(64a^2-80a+25\)
10. \(196a^{6}+308a^3q+121q^2\)
11. \(-36s^2+121\)
12. \(121x^2-36b^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49b^{8}-224b^4p+256p^2=(7b^4-16p)^2\)
2. \(81s^2-256q^{10}=(9s-16q^5)(9s+16q^5)\)
3. \(121q^2+198q+81=(11q+9)^2\)
4. \(196p^{6}+252p^3+81=(14p^3+9)^2\)
5. \(p^2-121=(p-11)(p+11)\)
6. \(4a^{8}+36a^4x+81x^2=(2a^4+9x)^2\)
7. \(144q^{4}+120q^2+25=(12q^2+5)^2\)
8. \(169b^{6}+156b^3y+36y^2=(13b^3+6y)^2\)
9. \(64a^2-80a+25=(8a-5)^2\)
10. \(196a^{6}+308a^3q+121q^2=(14a^3+11q)^2\)
11. \(-36s^2+121=(11-6s)(11+6s)\)
12. \(121x^2-36b^{16}=(11x-6b^8)(11x+6b^8)\)