Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-64s^2+225\)
2. \(256a^2-288a+81\)
3. \(9-121a^{6}\)
4. \(16p^2-25\)
5. \(16q^2-9\)
6. \(25x^{6}+10x^3+1\)
7. \(16p^2-225\)
8. \(81-4p^{8}\)
9. \(225x^{4}+390x^2+169\)
10. \(169s^2-16p^{14}\)
11. \(49a^{4}-140a^2+100\)
12. \(169s^2-81b^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-64s^2+225=(15-8s)(15+8s)\)
2. \(256a^2-288a+81=(16a-9)^2\)
3. \(9-121a^{6}=(3-11a^3)(3+11a^3)\)
4. \(16p^2-25=(4p+5)(4p-5)\)
5. \(16q^2-9=(4q+3)(4q-3)\)
6. \(25x^{6}+10x^3+1=(5x^3+1)^2\)
7. \(16p^2-225=(4p+15)(4p-15)\)
8. \(81-4p^{8}=(9-2p^4)(9+2p^4)\)
9. \(225x^{4}+390x^2+169=(15x^2+13)^2\)
10. \(169s^2-16p^{14}=(13s-4p^7)(13s+4p^7)\)
11. \(49a^{4}-140a^2+100=(7a^2-10)^2\)
12. \(169s^2-81b^{14}=(13s-9b^7)(13s+9b^7)\)