Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-225\)
2. \(121p^{10}-176p^5+64\)
3. \(64p^{14}-225\)
4. \(225a^{4}-16s^2\)
5. \(9a^{16}-16b^2\)
6. \(x^2-49\)
7. \(64p^2-80p+25\)
8. \(169q^{8}+286q^4+121\)
9. \(a^2-225\)
10. \(25x^2+10x+1\)
11. \(x^2-2x+1\)
12. \(121s^2-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-225=(q+15)(q-15)\)
2. \(121p^{10}-176p^5+64=(11p^5-8)^2\)
3. \(64p^{14}-225=(8p^7+15)(8p^7-15)\)
4. \(225a^{4}-16s^2=(15a^2+4s)(15a^2-4s)\)
5. \(9a^{16}-16b^2=(3a^8+4b)(3a^8-4b)\)
6. \(x^2-49=(x+7)(x-7)\)
7. \(64p^2-80p+25=(8p-5)^2\)
8. \(169q^{8}+286q^4+121=(13q^4+11)^2\)
9. \(a^2-225=(a-15)(a+15)\)
10. \(25x^2+10x+1=(5x+1)^2\)
11. \(x^2-2x+1=(x-1)^2\)
12. \(121s^2-16=(11s+4)(11s-4)\)