Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-1\)
2. \(a^2-16a+64\)
3. \(9b^2-64a^{12}\)
4. \(-25b^2+9\)
5. \(a^2-6a+9\)
6. \(4p^2+4p+1\)
7. \(36a^2-60a+25\)
8. \(s^2-10s+25\)
9. \(81x^2-p^{4}\)
10. \(p^2-26p+169\)
11. \(16p^{8}-25s^2\)
12. \(81-256y^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-1=(q+1)(q-1)\)
2. \(a^2-16a+64=(a-8)^2\)
3. \(9b^2-64a^{12}=(3b-8a^6)(3b+8a^6)\)
4. \(-25b^2+9=(3-5b)(3+5b)\)
5. \(a^2-6a+9=(a-3)^2\)
6. \(4p^2+4p+1=(2p+1)^2\)
7. \(36a^2-60a+25=(6a-5)^2\)
8. \(s^2-10s+25=(s-5)^2\)
9. \(81x^2-p^{4}=(9x-p^2)(9x+p^2)\)
10. \(p^2-26p+169=(p-13)^2\)
11. \(16p^{8}-25s^2=(4p^4+5s)(4p^4-5s)\)
12. \(81-256y^{10}=(9-16y^5)(9+16y^5)\)