Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100y^2+180y+81\)
2. \(9a^{10}+60a^5s+100s^2\)
3. \(x^2-100\)
4. \(256s^{6}-480s^3x+225x^2\)
5. \(144y^{8}-121\)
6. \(q^2-25\)
7. \(9b^{14}-100\)
8. \(196b^2-252b+81\)
9. \(q^2-121\)
10. \(196y^2+252y+81\)
11. \(p^2-20p+100\)
12. \(q^2-12q+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100y^2+180y+81=(10y+9)^2\)
2. \(9a^{10}+60a^5s+100s^2=(3a^5+10s)^2\)
3. \(x^2-100=(x-10)(x+10)\)
4. \(256s^{6}-480s^3x+225x^2=(16s^3-15x)^2\)
5. \(144y^{8}-121=(12y^4+11)(12y^4-11)\)
6. \(q^2-25=(q+5)(q-5)\)
7. \(9b^{14}-100=(3b^7+10)(3b^7-10)\)
8. \(196b^2-252b+81=(14b-9)^2\)
9. \(q^2-121=(q+11)(q-11)\)
10. \(196y^2+252y+81=(14y+9)^2\)
11. \(p^2-20p+100=(p-10)^2\)
12. \(q^2-12q+36=(q-6)^2\)