Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^2-49\)
2. \(q^2-9\)
3. \(16y^2+56y+49\)
4. \(225y^2+210y+49\)
5. \(s^2-144\)
6. \(36p^{8}-60p^4q+25q^2\)
7. \(64q^2+208q+169\)
8. \(169x^2-256b^{6}\)
9. \(36b^2-60b+25\)
10. \(4x^2-25q^{10}\)
11. \(25-144a^{8}\)
12. \(225y^2-196s^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^2-49=(8a+7)(8a-7)\)
2. \(q^2-9=(q+3)(q-3)\)
3. \(16y^2+56y+49=(4y+7)^2\)
4. \(225y^2+210y+49=(15y+7)^2\)
5. \(s^2-144=(s+12)(s-12)\)
6. \(36p^{8}-60p^4q+25q^2=(6p^4-5q)^2\)
7. \(64q^2+208q+169=(8q+13)^2\)
8. \(169x^2-256b^{6}=(13x-16b^3)(13x+16b^3)\)
9. \(36b^2-60b+25=(6b-5)^2\)
10. \(4x^2-25q^{10}=(2x-5q^5)(2x+5q^5)\)
11. \(25-144a^{8}=(5-12a^4)(5+12a^4)\)
12. \(225y^2-196s^{14}=(15y-14s^7)(15y+14s^7)\)