Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-100b^2+81\)
2. \(64q^{10}+208q^5y+169y^2\)
3. \(169b^{8}+234b^4s+81s^2\)
4. \(a^2-81\)
5. \(25-144a^{16}\)
6. \(121b^{4}+264b^2+144\)
7. \(a^2+28a+196\)
8. \(256y^2-480y+225\)
9. \(-16y^2+1\)
10. \(81-4s^{6}\)
11. \(-25q^2+64\)
12. \(x^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-100b^2+81=(9-10b)(9+10b)\)
2. \(64q^{10}+208q^5y+169y^2=(8q^5+13y)^2\)
3. \(169b^{8}+234b^4s+81s^2=(13b^4+9s)^2\)
4. \(a^2-81=(a+9)(a-9)\)
5. \(25-144a^{16}=(5-12a^8)(5+12a^8)\)
6. \(121b^{4}+264b^2+144=(11b^2+12)^2\)
7. \(a^2+28a+196=(a+14)^2\)
8. \(256y^2-480y+225=(16y-15)^2\)
9. \(-16y^2+1=(1-4y)(1+4y)\)
10. \(81-4s^{6}=(9-2s^3)(9+2s^3)\)
11. \(-25q^2+64=(8-5q)(8+5q)\)
12. \(x^2-144=(x-12)(x+12)\)