Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-64p^2+81\)
2. \(x^2-14x+49\)
3. \(64s^{4}+16s^2+1\)
4. \(x^2-20x+100\)
5. \(64p^2-112p+49\)
6. \(169b^{14}-16q^2\)
7. \(-144p^2+169\)
8. \(b^2+24b+144\)
9. \(s^2-81\)
10. \(49p^{4}-224p^2+256\)
11. \(25y^2-36a^{10}\)
12. \(121q^{8}-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-64p^2+81=(9-8p)(9+8p)\)
2. \(x^2-14x+49=(x-7)^2\)
3. \(64s^{4}+16s^2+1=(8s^2+1)^2\)
4. \(x^2-20x+100=(x-10)^2\)
5. \(64p^2-112p+49=(8p-7)^2\)
6. \(169b^{14}-16q^2=(13b^7+4q)(13b^7-4q)\)
7. \(-144p^2+169=(13-12p)(13+12p)\)
8. \(b^2+24b+144=(b+12)^2\)
9. \(s^2-81=(s+9)(s-9)\)
10. \(49p^{4}-224p^2+256=(7p^2-16)^2\)
11. \(25y^2-36a^{10}=(5y-6a^5)(5y+6a^5)\)
12. \(121q^{8}-169=(11q^4+13)(11q^4-13)\)