Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2+18b+81\)
2. \(b^2+6b+9\)
3. \(196y^2-9a^{6}\)
4. \(36p^{8}-132p^4+121\)
5. \(49s^{6}+154s^3x+121x^2\)
6. \(196p^{10}+28p^5q+1q^2\)
7. \(36x^{6}+132x^3y+121y^2\)
8. \(81q^{6}+36q^3+4\)
9. \(49x^{6}-140x^3+100\)
10. \(49x^2-126x+81\)
11. \(144s^2+24s+1\)
12. \(49q^{10}+14q^5+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2+18b+81=(b+9)^2\)
2. \(b^2+6b+9=(b+3)^2\)
3. \(196y^2-9a^{6}=(14y-3a^3)(14y+3a^3)\)
4. \(36p^{8}-132p^4+121=(6p^4-11)^2\)
5. \(49s^{6}+154s^3x+121x^2=(7s^3+11x)^2\)
6. \(196p^{10}+28p^5q+1q^2=(14p^5+q)^2\)
7. \(36x^{6}+132x^3y+121y^2=(6x^3+11y)^2\)
8. \(81q^{6}+36q^3+4=(9q^3+2)^2\)
9. \(49x^{6}-140x^3+100=(7x^3-10)^2\)
10. \(49x^2-126x+81=(7x-9)^2\)
11. \(144s^2+24s+1=(12s+1)^2\)
12. \(49q^{10}+14q^5+1=(7q^5+1)^2\)