Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49b^{6}-224b^3+256\)
2. \(121-100p^{8}\)
3. \(4q^2+60q+225\)
4. \(256y^{4}-160y^2+25\)
5. \(9y^2-169\)
6. \(169s^{8}-225\)
7. \(y^2-1\)
8. \(4b^{10}+4b^5p+1p^2\)
9. \(64q^2+144q+81\)
10. \(49x^2-100b^{10}\)
11. \(y^2-16\)
12. \(169y^2-225b^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49b^{6}-224b^3+256=(7b^3-16)^2\)
2. \(121-100p^{8}=(11-10p^4)(11+10p^4)\)
3. \(4q^2+60q+225=(2q+15)^2\)
4. \(256y^{4}-160y^2+25=(16y^2-5)^2\)
5. \(9y^2-169=(3y+13)(3y-13)\)
6. \(169s^{8}-225=(13s^4+15)(13s^4-15)\)
7. \(y^2-1=(y-1)(y+1)\)
8. \(4b^{10}+4b^5p+1p^2=(2b^5+p)^2\)
9. \(64q^2+144q+81=(8q+9)^2\)
10. \(49x^2-100b^{10}=(7x-10b^5)(7x+10b^5)\)
11. \(y^2-16=(y+4)(y-4)\)
12. \(169y^2-225b^{16}=(13y-15b^8)(13y+15b^8)\)