Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9b^2-25a^{6}\)
2. \(1-225x^{16}\)
3. \(49-25a^{16}\)
4. \(256s^2-288s+81\)
5. \(b^2-64\)
6. \(169-196s^{10}\)
7. \(b^2-2b+1\)
8. \(196b^{6}+308b^3q+121q^2\)
9. \(36s^{8}-132s^4+121\)
10. \(p^2-144\)
11. \(s^2-4\)
12. \(-144x^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9b^2-25a^{6}=(3b-5a^3)(3b+5a^3)\)
2. \(1-225x^{16}=(1-15x^8)(1+15x^8)\)
3. \(49-25a^{16}=(7-5a^8)(7+5a^8)\)
4. \(256s^2-288s+81=(16s-9)^2\)
5. \(b^2-64=(b+8)(b-8)\)
6. \(169-196s^{10}=(13-14s^5)(13+14s^5)\)
7. \(b^2-2b+1=(b-1)^2\)
8. \(196b^{6}+308b^3q+121q^2=(14b^3+11q)^2\)
9. \(36s^{8}-132s^4+121=(6s^4-11)^2\)
10. \(p^2-144=(p-12)(p+12)\)
11. \(s^2-4=(s+2)(s-2)\)
12. \(-144x^2+1=(1-12x)(1+12x)\)