Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49y^{10}-84y^5+36\)
2. \(36a^{10}-1\)
3. \(x^2-225\)
4. \(64y^2-1\)
5. \(16-81a^{14}\)
6. \(121x^{10}+308x^5+196\)
7. \(16s^{6}-56s^3x+49x^2\)
8. \(36q^2+12q+1\)
9. \(b^2-144\)
10. \(49p^2-4\)
11. \(-49q^2+1\)
12. \(121y^{4}-44y^2+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49y^{10}-84y^5+36=(7y^5-6)^2\)
2. \(36a^{10}-1=(6a^5+1)(6a^5-1)\)
3. \(x^2-225=(x+15)(x-15)\)
4. \(64y^2-1=(8y+1)(8y-1)\)
5. \(16-81a^{14}=(4-9a^7)(4+9a^7)\)
6. \(121x^{10}+308x^5+196=(11x^5+14)^2\)
7. \(16s^{6}-56s^3x+49x^2=(4s^3-7x)^2\)
8. \(36q^2+12q+1=(6q+1)^2\)
9. \(b^2-144=(b-12)(b+12)\)
10. \(49p^2-4=(7p+2)(7p-2)\)
11. \(-49q^2+1=(1-7q)(1+7q)\)
12. \(121y^{4}-44y^2+4=(11y^2-2)^2\)