Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121y^2-352y+256\)
2. \(144b^{10}+168b^5+49\)
3. \(-36x^2+1\)
4. \(64b^2-80b+25\)
5. \(a^2+6a+9\)
6. \(49b^2-1\)
7. \(49-256q^{6}\)
8. \(121q^2+264q+144\)
9. \(s^2+14s+49\)
10. \(64b^2-121a^{4}\)
11. \(36p^{6}+12p^3+1\)
12. \(a^2-12a+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121y^2-352y+256=(11y-16)^2\)
2. \(144b^{10}+168b^5+49=(12b^5+7)^2\)
3. \(-36x^2+1=(1-6x)(1+6x)\)
4. \(64b^2-80b+25=(8b-5)^2\)
5. \(a^2+6a+9=(a+3)^2\)
6. \(49b^2-1=(7b+1)(7b-1)\)
7. \(49-256q^{6}=(7-16q^3)(7+16q^3)\)
8. \(121q^2+264q+144=(11q+12)^2\)
9. \(s^2+14s+49=(s+7)^2\)
10. \(64b^2-121a^{4}=(8b-11a^2)(8b+11a^2)\)
11. \(36p^{6}+12p^3+1=(6p^3+1)^2\)
12. \(a^2-12a+36=(a-6)^2\)