Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+18q+81\)
2. \(16q^2-9\)
3. \(121x^{10}-81\)
4. \(169a^{10}-156a^5p+36p^2\)
5. \(25-64a^{6}\)
6. \(q^2-18q+81\)
7. \(36b^2+12b+1\)
8. \(169y^{10}-1\)
9. \(225-49q^{16}\)
10. \(16a^{10}-24a^5+9\)
11. \(49-169y^{16}\)
12. \(-256p^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+18q+81=(q+9)^2\)
2. \(16q^2-9=(4q+3)(4q-3)\)
3. \(121x^{10}-81=(11x^5+9)(11x^5-9)\)
4. \(169a^{10}-156a^5p+36p^2=(13a^5-6p)^2\)
5. \(25-64a^{6}=(5-8a^3)(5+8a^3)\)
6. \(q^2-18q+81=(q-9)^2\)
7. \(36b^2+12b+1=(6b+1)^2\)
8. \(169y^{10}-1=(13y^5+1)(13y^5-1)\)
9. \(225-49q^{16}=(15-7q^8)(15+7q^8)\)
10. \(16a^{10}-24a^5+9=(4a^5-3)^2\)
11. \(49-169y^{16}=(7-13y^8)(7+13y^8)\)
12. \(-256p^2+49=(7-16p)(7+16p)\)