Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36s^{8}-132s^4+121\)
2. \(121x^{14}-169\)
3. \(4b^{12}-25\)
4. \(256a^{10}+352a^5+121\)
5. \(s^2+16s+64\)
6. \(196a^{4}+28a^2+1\)
7. \(100x^{10}-60x^5+9\)
8. \(1-256a^{16}\)
9. \(-100x^2+9\)
10. \(49-64a^{12}\)
11. \(p^2-225\)
12. \(16p^2-24p+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36s^{8}-132s^4+121=(6s^4-11)^2\)
2. \(121x^{14}-169=(11x^7+13)(11x^7-13)\)
3. \(4b^{12}-25=(2b^6+5)(2b^6-5)\)
4. \(256a^{10}+352a^5+121=(16a^5+11)^2\)
5. \(s^2+16s+64=(s+8)^2\)
6. \(196a^{4}+28a^2+1=(14a^2+1)^2\)
7. \(100x^{10}-60x^5+9=(10x^5-3)^2\)
8. \(1-256a^{16}=(1-16a^8)(1+16a^8)\)
9. \(-100x^2+9=(3-10x)(3+10x)\)
10. \(49-64a^{12}=(7-8a^6)(7+8a^6)\)
11. \(p^2-225=(p+15)(p-15)\)
12. \(16p^2-24p+9=(4p-3)^2\)