Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121y^2-196\)
2. \(121a^{8}+220a^4+100\)
3. \(169x^2-64\)
4. \(16-81s^{16}\)
5. \(4b^{10}+4b^5y+1y^2\)
6. \(144s^2+264s+121\)
7. \(9y^2-30y+25\)
8. \(a^2-16\)
9. \(q^2-64\)
10. \(49-144x^{10}\)
11. \(81a^{14}-169\)
12. \(-9s^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121y^2-196=(11y+14)(11y-14)\)
2. \(121a^{8}+220a^4+100=(11a^4+10)^2\)
3. \(169x^2-64=(13x+8)(13x-8)\)
4. \(16-81s^{16}=(4-9s^8)(4+9s^8)\)
5. \(4b^{10}+4b^5y+1y^2=(2b^5+y)^2\)
6. \(144s^2+264s+121=(12s+11)^2\)
7. \(9y^2-30y+25=(3y-5)^2\)
8. \(a^2-16=(a-4)(a+4)\)
9. \(q^2-64=(q-8)(q+8)\)
10. \(49-144x^{10}=(7-12x^5)(7+12x^5)\)
11. \(81a^{14}-169=(9a^7+13)(9a^7-13)\)
12. \(-9s^2+49=(7-3s)(7+3s)\)