Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-81\)
2. \(225s^{16}-4y^2\)
3. \(s^2+14s+49\)
4. \(49p^2+14p+1\)
5. \(-196y^2+169\)
6. \(-225p^2+1\)
7. \(p^2+10p+25\)
8. \(256x^2+224x+49\)
9. \(b^2-14b+49\)
10. \(121-36s^{10}\)
11. \(p^2-25\)
12. \(16s^{6}-24s^3+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-81=(s+9)(s-9)\)
2. \(225s^{16}-4y^2=(15s^8+2y)(15s^8-2y)\)
3. \(s^2+14s+49=(s+7)^2\)
4. \(49p^2+14p+1=(7p+1)^2\)
5. \(-196y^2+169=(13-14y)(13+14y)\)
6. \(-225p^2+1=(1-15p)(1+15p)\)
7. \(p^2+10p+25=(p+5)^2\)
8. \(256x^2+224x+49=(16x+7)^2\)
9. \(b^2-14b+49=(b-7)^2\)
10. \(121-36s^{10}=(11-6s^5)(11+6s^5)\)
11. \(p^2-25=(p+5)(p-5)\)
12. \(16s^{6}-24s^3+9=(4s^3-3)^2\)