Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^{8}-1\)
2. \(121x^{4}-44x^2y+4y^2\)
3. \(169a^{10}-156a^5+36\)
4. \(36b^{8}+12b^4s+1s^2\)
5. \(121x^2-25p^{14}\)
6. \(16a^2-121\)
7. \(9a^{8}-84a^4+196\)
8. \(9q^{4}-49y^2\)
9. \(25a^2-121\)
10. \(a^2-81\)
11. \(s^2-100\)
12. \(a^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^{8}-1=(5p^4+1)(5p^4-1)\)
2. \(121x^{4}-44x^2y+4y^2=(11x^2-2y)^2\)
3. \(169a^{10}-156a^5+36=(13a^5-6)^2\)
4. \(36b^{8}+12b^4s+1s^2=(6b^4+s)^2\)
5. \(121x^2-25p^{14}=(11x-5p^7)(11x+5p^7)\)
6. \(16a^2-121=(4a+11)(4a-11)\)
7. \(9a^{8}-84a^4+196=(3a^4-14)^2\)
8. \(9q^{4}-49y^2=(3q^2+7y)(3q^2-7y)\)
9. \(25a^2-121=(5a+11)(5a-11)\)
10. \(a^2-81=(a-9)(a+9)\)
11. \(s^2-100=(s+10)(s-10)\)
12. \(a^2-81=(a+9)(a-9)\)