Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169s^{6}-225\)
2. \(1-256a^{16}\)
3. \(9q^{16}-100y^2\)
4. \(-16p^2+81\)
5. \(225a^{4}-16q^2\)
6. \(4b^{8}+4b^4+1\)
7. \(100a^{8}-60a^4+9\)
8. \(256s^2-49\)
9. \(4q^{4}+28q^2y+49y^2\)
10. \(64p^{4}+176p^2+121\)
11. \(a^2-9\)
12. \(x^2-4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169s^{6}-225=(13s^3+15)(13s^3-15)\)
2. \(1-256a^{16}=(1-16a^8)(1+16a^8)\)
3. \(9q^{16}-100y^2=(3q^8+10y)(3q^8-10y)\)
4. \(-16p^2+81=(9-4p)(9+4p)\)
5. \(225a^{4}-16q^2=(15a^2+4q)(15a^2-4q)\)
6. \(4b^{8}+4b^4+1=(2b^4+1)^2\)
7. \(100a^{8}-60a^4+9=(10a^4-3)^2\)
8. \(256s^2-49=(16s+7)(16s-7)\)
9. \(4q^{4}+28q^2y+49y^2=(2q^2+7y)^2\)
10. \(64p^{4}+176p^2+121=(8p^2+11)^2\)
11. \(a^2-9=(a-3)(a+3)\)
12. \(x^2-4=(x-2)(x+2)\)