Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121-64y^{8}\)
2. \(49a^2-84a+36\)
3. \(169a^2-9\)
4. \(36a^{10}-132a^5y+121y^2\)
5. \(49-144x^{4}\)
6. \(256x^2-288x+81\)
7. \(64x^{10}+144x^5+81\)
8. \(81x^2-49b^{8}\)
9. \(16y^2-81b^{4}\)
10. \(121-144p^{12}\)
11. \(36y^2+12y+1\)
12. \(x^2-4x+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121-64y^{8}=(11-8y^4)(11+8y^4)\)
2. \(49a^2-84a+36=(7a-6)^2\)
3. \(169a^2-9=(13a+3)(13a-3)\)
4. \(36a^{10}-132a^5y+121y^2=(6a^5-11y)^2\)
5. \(49-144x^{4}=(7-12x^2)(7+12x^2)\)
6. \(256x^2-288x+81=(16x-9)^2\)
7. \(64x^{10}+144x^5+81=(8x^5+9)^2\)
8. \(81x^2-49b^{8}=(9x-7b^4)(9x+7b^4)\)
9. \(16y^2-81b^{4}=(4y-9b^2)(4y+9b^2)\)
10. \(121-144p^{12}=(11-12p^6)(11+12p^6)\)
11. \(36y^2+12y+1=(6y+1)^2\)
12. \(x^2-4x+4=(x-2)^2\)