Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64p^{14}-9s^2\)
2. \(b^2-81\)
3. \(a^2+16a+64\)
4. \(169p^2+208p+64\)
5. \(1-100q^{10}\)
6. \(225x^{4}-60x^2+4\)
7. \(a^2-64\)
8. \(121b^{10}-176b^5q+64q^2\)
9. \(9x^{10}-1\)
10. \(256a^{8}-160a^4+25\)
11. \(225b^2-60b+4\)
12. \(81x^2-100s^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64p^{14}-9s^2=(8p^7+3s)(8p^7-3s)\)
2. \(b^2-81=(b-9)(b+9)\)
3. \(a^2+16a+64=(a+8)^2\)
4. \(169p^2+208p+64=(13p+8)^2\)
5. \(1-100q^{10}=(1-10q^5)(1+10q^5)\)
6. \(225x^{4}-60x^2+4=(15x^2-2)^2\)
7. \(a^2-64=(a+8)(a-8)\)
8. \(121b^{10}-176b^5q+64q^2=(11b^5-8q)^2\)
9. \(9x^{10}-1=(3x^5+1)(3x^5-1)\)
10. \(256a^{8}-160a^4+25=(16a^4-5)^2\)
11. \(225b^2-60b+4=(15b-2)^2\)
12. \(81x^2-100s^{12}=(9x-10s^6)(9x+10s^6)\)