Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2-49a^{16}\)
2. \(64q^{8}+16q^4+1\)
3. \(b^2+10b+25\)
4. \(a^2-25\)
5. \(1-100y^{6}\)
6. \(256a^{8}+224a^4y+49y^2\)
7. \(81-4y^{12}\)
8. \(225q^{14}-1\)
9. \(121p^{6}-352p^3+256\)
10. \(225-16y^{4}\)
11. \(121p^{10}-4s^2\)
12. \(-4x^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2-49a^{16}=(3y-7a^8)(3y+7a^8)\)
2. \(64q^{8}+16q^4+1=(8q^4+1)^2\)
3. \(b^2+10b+25=(b+5)^2\)
4. \(a^2-25=(a-5)(a+5)\)
5. \(1-100y^{6}=(1-10y^3)(1+10y^3)\)
6. \(256a^{8}+224a^4y+49y^2=(16a^4+7y)^2\)
7. \(81-4y^{12}=(9-2y^6)(9+2y^6)\)
8. \(225q^{14}-1=(15q^7+1)(15q^7-1)\)
9. \(121p^{6}-352p^3+256=(11p^3-16)^2\)
10. \(225-16y^{4}=(15-4y^2)(15+4y^2)\)
11. \(121p^{10}-4s^2=(11p^5+2s)(11p^5-2s)\)
12. \(-4x^2+1=(1-2x)(1+2x)\)