Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196b^{6}-308b^3y+121y^2\)
2. \(a^2-144\)
3. \(q^2+18q+81\)
4. \(225q^{4}-64x^2\)
5. \(49-36a^{16}\)
6. \(36a^2-169\)
7. \(-196b^2+1\)
8. \(y^2-196\)
9. \(-49p^2+36\)
10. \(256y^2-25a^{10}\)
11. \(121b^2+22b+1\)
12. \(-25q^2+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196b^{6}-308b^3y+121y^2=(14b^3-11y)^2\)
2. \(a^2-144=(a+12)(a-12)\)
3. \(q^2+18q+81=(q+9)^2\)
4. \(225q^{4}-64x^2=(15q^2+8x)(15q^2-8x)\)
5. \(49-36a^{16}=(7-6a^8)(7+6a^8)\)
6. \(36a^2-169=(6a+13)(6a-13)\)
7. \(-196b^2+1=(1-14b)(1+14b)\)
8. \(y^2-196=(y+14)(y-14)\)
9. \(-49p^2+36=(6-7p)(6+7p)\)
10. \(256y^2-25a^{10}=(16y-5a^5)(16y+5a^5)\)
11. \(121b^2+22b+1=(11b+1)^2\)
12. \(-25q^2+36=(6-5q)(6+5q)\)