Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9s^{14}-4y^2\)
2. \(-36q^2+49\)
3. \(q^2-16\)
4. \(x^2-144\)
5. \(121x^{8}+220x^4y+100y^2\)
6. \(36x^2-132x+121\)
7. \(81q^{6}-234q^3+169\)
8. \(16q^{10}+120q^5s+225s^2\)
9. \(256x^{8}-25\)
10. \(169a^{4}+208a^2y+64y^2\)
11. \(s^2+4s+4\)
12. \(9a^{10}+60a^5y+100y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9s^{14}-4y^2=(3s^7+2y)(3s^7-2y)\)
2. \(-36q^2+49=(7-6q)(7+6q)\)
3. \(q^2-16=(q-4)(q+4)\)
4. \(x^2-144=(x-12)(x+12)\)
5. \(121x^{8}+220x^4y+100y^2=(11x^4+10y)^2\)
6. \(36x^2-132x+121=(6x-11)^2\)
7. \(81q^{6}-234q^3+169=(9q^3-13)^2\)
8. \(16q^{10}+120q^5s+225s^2=(4q^5+15s)^2\)
9. \(256x^{8}-25=(16x^4+5)(16x^4-5)\)
10. \(169a^{4}+208a^2y+64y^2=(13a^2+8y)^2\)
11. \(s^2+4s+4=(s+2)^2\)
12. \(9a^{10}+60a^5y+100y^2=(3a^5+10y)^2\)