Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49s^2+126s+81\)
2. \(x^2-22x+121\)
3. \(36x^{4}-132x^2y+121y^2\)
4. \(b^2-36\)
5. \(81y^{10}-121\)
6. \(x^2-12x+36\)
7. \(169x^2-64a^{14}\)
8. \(b^2+10b+25\)
9. \(100b^2-9\)
10. \(225p^{4}+330p^2+121\)
11. \(225a^2-330a+121\)
12. \(81s^2+198s+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49s^2+126s+81=(7s+9)^2\)
2. \(x^2-22x+121=(x-11)^2\)
3. \(36x^{4}-132x^2y+121y^2=(6x^2-11y)^2\)
4. \(b^2-36=(b+6)(b-6)\)
5. \(81y^{10}-121=(9y^5+11)(9y^5-11)\)
6. \(x^2-12x+36=(x-6)^2\)
7. \(169x^2-64a^{14}=(13x-8a^7)(13x+8a^7)\)
8. \(b^2+10b+25=(b+5)^2\)
9. \(100b^2-9=(10b+3)(10b-3)\)
10. \(225p^{4}+330p^2+121=(15p^2+11)^2\)
11. \(225a^2-330a+121=(15a-11)^2\)
12. \(81s^2+198s+121=(9s+11)^2\)