Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+22s+121\)
2. \(4p^{8}+28p^4s+49s^2\)
3. \(x^2+28x+196\)
4. \(y^2-4\)
5. \(25b^{10}-140b^5+196\)
6. \(9a^{8}-16\)
7. \(36b^{6}+132b^3s+121s^2\)
8. \(169y^2+364y+196\)
9. \(36q^2+84q+49\)
10. \(225x^2-60x+4\)
11. \(q^2+14q+49\)
12. \(4b^{10}-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+22s+121=(s+11)^2\)
2. \(4p^{8}+28p^4s+49s^2=(2p^4+7s)^2\)
3. \(x^2+28x+196=(x+14)^2\)
4. \(y^2-4=(y+2)(y-2)\)
5. \(25b^{10}-140b^5+196=(5b^5-14)^2\)
6. \(9a^{8}-16=(3a^4+4)(3a^4-4)\)
7. \(36b^{6}+132b^3s+121s^2=(6b^3+11s)^2\)
8. \(169y^2+364y+196=(13y+14)^2\)
9. \(36q^2+84q+49=(6q+7)^2\)
10. \(225x^2-60x+4=(15x-2)^2\)
11. \(q^2+14q+49=(q+7)^2\)
12. \(4b^{10}-121=(2b^5+11)(2b^5-11)\)