Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256b^2-9\)
2. \(121a^{10}+286a^5+169\)
3. \(256x^2+288x+81\)
4. \(-100s^2+1\)
5. \(81p^2-1\)
6. \(81a^{6}-100p^2\)
7. \(-100q^2+9\)
8. \(81a^{10}-72a^5y+16y^2\)
9. \(25y^{10}-49\)
10. \(36x^{10}+84x^5+49\)
11. \(x^2-64\)
12. \(16x^2-121b^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256b^2-9=(16b+3)(16b-3)\)
2. \(121a^{10}+286a^5+169=(11a^5+13)^2\)
3. \(256x^2+288x+81=(16x+9)^2\)
4. \(-100s^2+1=(1-10s)(1+10s)\)
5. \(81p^2-1=(9p+1)(9p-1)\)
6. \(81a^{6}-100p^2=(9a^3+10p)(9a^3-10p)\)
7. \(-100q^2+9=(3-10q)(3+10q)\)
8. \(81a^{10}-72a^5y+16y^2=(9a^5-4y)^2\)
9. \(25y^{10}-49=(5y^5+7)(5y^5-7)\)
10. \(36x^{10}+84x^5+49=(6x^5+7)^2\)
11. \(x^2-64=(x+8)(x-8)\)
12. \(16x^2-121b^{8}=(4x-11b^4)(4x+11b^4)\)