Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-144\)
2. \(169s^{8}+182s^4+49\)
3. \(25-4q^{4}\)
4. \(121x^2-16\)
5. \(s^2+12s+36\)
6. \(100b^2-60b+9\)
7. \(144a^{10}+24a^5x+1x^2\)
8. \(81b^{8}+234b^4s+169s^2\)
9. \(y^2-64\)
10. \(196s^{10}+308s^5y+121y^2\)
11. \(64q^2-25\)
12. \(49b^2-182b+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-144=(q+12)(q-12)\)
2. \(169s^{8}+182s^4+49=(13s^4+7)^2\)
3. \(25-4q^{4}=(5-2q^2)(5+2q^2)\)
4. \(121x^2-16=(11x+4)(11x-4)\)
5. \(s^2+12s+36=(s+6)^2\)
6. \(100b^2-60b+9=(10b-3)^2\)
7. \(144a^{10}+24a^5x+1x^2=(12a^5+x)^2\)
8. \(81b^{8}+234b^4s+169s^2=(9b^4+13s)^2\)
9. \(y^2-64=(y+8)(y-8)\)
10. \(196s^{10}+308s^5y+121y^2=(14s^5+11y)^2\)
11. \(64q^2-25=(8q+5)(8q-5)\)
12. \(49b^2-182b+169=(7b-13)^2\)