Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4x^2+4x+1\)
2. \(49y^2-36x^{16}\)
3. \(p^2-4\)
4. \(9s^{6}-12s^3x+4x^2\)
5. \(s^2+18s+81\)
6. \(36x^{6}-121\)
7. \(36a^2+12a+1\)
8. \(-49y^2+25\)
9. \(121p^2-196\)
10. \(25a^{8}-120a^4q+144q^2\)
11. \(25y^2-90y+81\)
12. \(144b^{10}-168b^5s+49s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4x^2+4x+1=(2x+1)^2\)
2. \(49y^2-36x^{16}=(7y-6x^8)(7y+6x^8)\)
3. \(p^2-4=(p-2)(p+2)\)
4. \(9s^{6}-12s^3x+4x^2=(3s^3-2x)^2\)
5. \(s^2+18s+81=(s+9)^2\)
6. \(36x^{6}-121=(6x^3+11)(6x^3-11)\)
7. \(36a^2+12a+1=(6a+1)^2\)
8. \(-49y^2+25=(5-7y)(5+7y)\)
9. \(121p^2-196=(11p+14)(11p-14)\)
10. \(25a^{8}-120a^4q+144q^2=(5a^4-12q)^2\)
11. \(25y^2-90y+81=(5y-9)^2\)
12. \(144b^{10}-168b^5s+49s^2=(12b^5-7s)^2\)